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Finding the Fourth Proportional to 686.40, 947.59 and 424.57

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Solution

The fourth proportional to 686.40, 947.59 and 424.57 is: 586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.40 : 947.59 = 424.57 : x
  2. Step 2: Convert to fraction form
    686.40/947.59 = 424.57/x
  3. Step 3: Cross multiply
    686.40x = 947.59 × 424.57
  4. Step 4: Simplify right side
    686.40x = 402,318.29
  5. Step 5: Solve for x
    x = 402,318.29/686.40
  6. Step 6: Final answer
    x = 586.13

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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.