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Finding the Fourth Proportional to 602.56, 831.90 and 416.38

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Solution

The fourth proportional to 602.56, 831.90 and 416.38 is: 574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.56 : 831.90 = 416.38 : x
  2. Step 2: Convert to fraction form
    602.56/831.90 = 416.38/x
  3. Step 3: Cross multiply
    602.56x = 831.90 × 416.38
  4. Step 4: Simplify right side
    602.56x = 346,386.52
  5. Step 5: Solve for x
    x = 346,386.52/602.56
  6. Step 6: Final answer
    x = 574.86

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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.