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Finding the Fourth Proportional to 498.64, 748.20 and 353.32

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Solution

The fourth proportional to 498.64, 748.20 and 353.32 is: 530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.64 : 748.20 = 353.32 : x
  2. Step 2: Convert to fraction form
    498.64/748.20 = 353.32/x
  3. Step 3: Cross multiply
    498.64x = 748.20 × 353.32
  4. Step 4: Simplify right side
    498.64x = 264,353.14
  5. Step 5: Solve for x
    x = 264,353.14/498.64
  6. Step 6: Final answer
    x = 530.15

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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.