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Finding the Fourth Proportional to 585.71, 809.26 and 462.32

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Solution

The fourth proportional to 585.71, 809.26 and 462.32 is: 638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.71 : 809.26 = 462.32 : x
  2. Step 2: Convert to fraction form
    585.71/809.26 = 462.32/x
  3. Step 3: Cross multiply
    585.71x = 809.26 × 462.32
  4. Step 4: Simplify right side
    585.71x = 374,130.73
  5. Step 5: Solve for x
    x = 374,130.73/585.71
  6. Step 6: Final answer
    x = 638.76

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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.