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Finding the Fourth Proportional to 685.89, 946.80 and 424.08

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Solution

The fourth proportional to 685.89, 946.80 and 424.08 is: 585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.89 : 946.80 = 424.08 : x
  2. Step 2: Convert to fraction form
    685.89/946.80 = 424.08/x
  3. Step 3: Cross multiply
    685.89x = 946.80 × 424.08
  4. Step 4: Simplify right side
    685.89x = 401,518.94
  5. Step 5: Solve for x
    x = 401,518.94/685.89
  6. Step 6: Final answer
    x = 585.40

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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.