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Finding the Fourth Proportional to 685.97, 946.69 and 424.14

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Solution

The fourth proportional to 685.97, 946.69 and 424.14 is: 585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.97 : 946.69 = 424.14 : x
  2. Step 2: Convert to fraction form
    685.97/946.69 = 424.14/x
  3. Step 3: Cross multiply
    685.97x = 946.69 × 424.14
  4. Step 4: Simplify right side
    685.97x = 401,524.49
  5. Step 5: Solve for x
    x = 401,524.49/685.97
  6. Step 6: Final answer
    x = 585.34

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.