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Finding the Fourth Proportional to 602.74, 831.27 and 478.20

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Solution

The fourth proportional to 602.74, 831.27 and 478.20 is: 659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.74 : 831.27 = 478.20 : x
  2. Step 2: Convert to fraction form
    602.74/831.27 = 478.20/x
  3. Step 3: Cross multiply
    602.74x = 831.27 × 478.20
  4. Step 4: Simplify right side
    602.74x = 397,513.31
  5. Step 5: Solve for x
    x = 397,513.31/602.74
  6. Step 6: Final answer
    x = 659.52

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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.