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Finding the Fourth Proportional to 602.40, 831.59 and 392.53

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Solution

The fourth proportional to 602.40, 831.59 and 392.53 is: 541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.40 : 831.59 = 392.53 : x
  2. Step 2: Convert to fraction form
    602.40/831.59 = 392.53/x
  3. Step 3: Cross multiply
    602.40x = 831.59 × 392.53
  4. Step 4: Simplify right side
    602.40x = 326,419.98
  5. Step 5: Solve for x
    x = 326,419.98/602.40
  6. Step 6: Final answer
    x = 541.87

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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.