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Finding the Fourth Proportional to 686.47, 947.50 and 424.33

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Solution

The fourth proportional to 686.47, 947.50 and 424.33 is: 585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.47 : 947.50 = 424.33 : x
  2. Step 2: Convert to fraction form
    686.47/947.50 = 424.33/x
  3. Step 3: Cross multiply
    686.47x = 947.50 × 424.33
  4. Step 4: Simplify right side
    686.47x = 402,052.68
  5. Step 5: Solve for x
    x = 402,052.68/686.47
  6. Step 6: Final answer
    x = 585.68

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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.