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Finding the Fourth Proportional to 602.87, 831.94 and 406.49

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Solution

The fourth proportional to 602.87, 831.94 and 406.49 is: 560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.87 : 831.94 = 406.49 : x
  2. Step 2: Convert to fraction form
    602.87/831.94 = 406.49/x
  3. Step 3: Cross multiply
    602.87x = 831.94 × 406.49
  4. Step 4: Simplify right side
    602.87x = 338,170.11
  5. Step 5: Solve for x
    x = 338,170.11/602.87
  6. Step 6: Final answer
    x = 560.94

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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.