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Finding the Fourth Proportional to 602.42, 831.20 and 366.30

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Solution

The fourth proportional to 602.42, 831.20 and 366.30 is: 505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.42 : 831.20 = 366.30 : x
  2. Step 2: Convert to fraction form
    602.42/831.20 = 366.30/x
  3. Step 3: Cross multiply
    602.42x = 831.20 × 366.30
  4. Step 4: Simplify right side
    602.42x = 304,466.73
  5. Step 5: Solve for x
    x = 304,466.73/602.42
  6. Step 6: Final answer
    x = 505.41

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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.