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Finding the Fourth Proportional to 496.57, 747.62 and 439.12

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Solution

The fourth proportional to 496.57, 747.62 and 439.12 is: 661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.57 : 747.62 = 439.12 : x
  2. Step 2: Convert to fraction form
    496.57/747.62 = 439.12/x
  3. Step 3: Cross multiply
    496.57x = 747.62 × 439.12
  4. Step 4: Simplify right side
    496.57x = 328,294.89
  5. Step 5: Solve for x
    x = 328,294.89/496.57
  6. Step 6: Final answer
    x = 661.13

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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.