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Finding the Fourth Proportional to 686.62, 946.70 and 476.97

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Solution

The fourth proportional to 686.62, 946.70 and 476.97 is: 657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.62 : 946.70 = 476.97 : x
  2. Step 2: Convert to fraction form
    686.62/946.70 = 476.97/x
  3. Step 3: Cross multiply
    686.62x = 946.70 × 476.97
  4. Step 4: Simplify right side
    686.62x = 451,547.50
  5. Step 5: Solve for x
    x = 451,547.50/686.62
  6. Step 6: Final answer
    x = 657.64

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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.