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Finding the Fourth Proportional to 492.46, 737.47 and 362.15

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Solution

The fourth proportional to 492.46, 737.47 and 362.15 is: 542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.46 : 737.47 = 362.15 : x
  2. Step 2: Convert to fraction form
    492.46/737.47 = 362.15/x
  3. Step 3: Cross multiply
    492.46x = 737.47 × 362.15
  4. Step 4: Simplify right side
    492.46x = 267,072.95
  5. Step 5: Solve for x
    x = 267,072.95/492.46
  6. Step 6: Final answer
    x = 542.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.