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Finding the Fourth Proportional to 499.52, 752.19 and 370.42

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Solution

The fourth proportional to 499.52, 752.19 and 370.42 is: 557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.52 : 752.19 = 370.42 : x
  2. Step 2: Convert to fraction form
    499.52/752.19 = 370.42/x
  3. Step 3: Cross multiply
    499.52x = 752.19 × 370.42
  4. Step 4: Simplify right side
    499.52x = 278,627.18
  5. Step 5: Solve for x
    x = 278,627.18/499.52
  6. Step 6: Final answer
    x = 557.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.