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Finding the Fourth Proportional to 499.42, 747.24 and 283.15

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Solution

The fourth proportional to 499.42, 747.24 and 283.15 is: 423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.42 : 747.24 = 283.15 : x
  2. Step 2: Convert to fraction form
    499.42/747.24 = 283.15/x
  3. Step 3: Cross multiply
    499.42x = 747.24 × 283.15
  4. Step 4: Simplify right side
    499.42x = 211,581.01
  5. Step 5: Solve for x
    x = 211,581.01/499.42
  6. Step 6: Final answer
    x = 423.65

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