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Finding the Fourth Proportional to 499.24, 748.05 and 354.25

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Solution

The fourth proportional to 499.24, 748.05 and 354.25 is: 530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.24 : 748.05 = 354.25 : x
  2. Step 2: Convert to fraction form
    499.24/748.05 = 354.25/x
  3. Step 3: Cross multiply
    499.24x = 748.05 × 354.25
  4. Step 4: Simplify right side
    499.24x = 264,996.71
  5. Step 5: Solve for x
    x = 264,996.71/499.24
  6. Step 6: Final answer
    x = 530.80

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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.