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Finding the Fourth Proportional to 602.39, 831.54 and 406.49

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Solution

The fourth proportional to 602.39, 831.54 and 406.49 is: 561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.39 : 831.54 = 406.49 : x
  2. Step 2: Convert to fraction form
    602.39/831.54 = 406.49/x
  3. Step 3: Cross multiply
    602.39x = 831.54 × 406.49
  4. Step 4: Simplify right side
    602.39x = 338,008.54
  5. Step 5: Solve for x
    x = 338,008.54/602.39
  6. Step 6: Final answer
    x = 561.12

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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.