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Finding the Fourth Proportional to 499.12, 748.14 and 282.64

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Solution

The fourth proportional to 499.12, 748.14 and 282.64 is: 423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.12 : 748.14 = 282.64 : x
  2. Step 2: Convert to fraction form
    499.12/748.14 = 282.64/x
  3. Step 3: Cross multiply
    499.12x = 748.14 × 282.64
  4. Step 4: Simplify right side
    499.12x = 211,454.29
  5. Step 5: Solve for x
    x = 211,454.29/499.12
  6. Step 6: Final answer
    x = 423.65

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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.