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Finding the Fourth Proportional to 686.40, 946.56 and 473.62

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Solution

The fourth proportional to 686.40, 946.56 and 473.62 is: 653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.40 : 946.56 = 473.62 : x
  2. Step 2: Convert to fraction form
    686.40/946.56 = 473.62/x
  3. Step 3: Cross multiply
    686.40x = 946.56 × 473.62
  4. Step 4: Simplify right side
    686.40x = 448,312.26
  5. Step 5: Solve for x
    x = 448,312.26/686.40
  6. Step 6: Final answer
    x = 653.14

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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.