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Finding the Fourth Proportional to 685.40, 946.15 and 520.36

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Solution

The fourth proportional to 685.40, 946.15 and 520.36 is: 718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.40 : 946.15 = 520.36 : x
  2. Step 2: Convert to fraction form
    685.40/946.15 = 520.36/x
  3. Step 3: Cross multiply
    685.40x = 946.15 × 520.36
  4. Step 4: Simplify right side
    685.40x = 492,334.95
  5. Step 5: Solve for x
    x = 492,334.95/685.40
  6. Step 6: Final answer
    x = 718.32

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Half scale
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Double scale
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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.