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Finding the Fourth Proportional to 686.81, 947.97 and 424.98

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Solution

The fourth proportional to 686.81, 947.97 and 424.98 is: 586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.81 : 947.97 = 424.98 : x
  2. Step 2: Convert to fraction form
    686.81/947.97 = 424.98/x
  3. Step 3: Cross multiply
    686.81x = 947.97 × 424.98
  4. Step 4: Simplify right side
    686.81x = 402,868.29
  5. Step 5: Solve for x
    x = 402,868.29/686.81
  6. Step 6: Final answer
    x = 586.58

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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.