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Finding the Fourth Proportional to 492.79, 737.58 and 362.76

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Solution

The fourth proportional to 492.79, 737.58 and 362.76 is: 542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.79 : 737.58 = 362.76 : x
  2. Step 2: Convert to fraction form
    492.79/737.58 = 362.76/x
  3. Step 3: Cross multiply
    492.79x = 737.58 × 362.76
  4. Step 4: Simplify right side
    492.79x = 267,564.52
  5. Step 5: Solve for x
    x = 267,564.52/492.79
  6. Step 6: Final answer
    x = 542.96

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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.