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Finding the Fourth Proportional to 499.01, 747.49 and 292.95

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Solution

The fourth proportional to 499.01, 747.49 and 292.95 is: 438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.01 : 747.49 = 292.95 : x
  2. Step 2: Convert to fraction form
    499.01/747.49 = 292.95/x
  3. Step 3: Cross multiply
    499.01x = 747.49 × 292.95
  4. Step 4: Simplify right side
    499.01x = 218,977.20
  5. Step 5: Solve for x
    x = 218,977.20/499.01
  6. Step 6: Final answer
    x = 438.82

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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.