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Finding the Fourth Proportional to 460.62, 686.70 and 424.08

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Solution

The fourth proportional to 460.62, 686.70 and 424.08 is: 632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.62 : 686.70 = 424.08 : x
  2. Step 2: Convert to fraction form
    460.62/686.70 = 424.08/x
  3. Step 3: Cross multiply
    460.62x = 686.70 × 424.08
  4. Step 4: Simplify right side
    460.62x = 291,215.74
  5. Step 5: Solve for x
    x = 291,215.74/460.62
  6. Step 6: Final answer
    x = 632.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.