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Finding the Fourth Proportional to 498.88, 747.12 and 457.84

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Solution

The fourth proportional to 498.88, 747.12 and 457.84 is: 685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.88 : 747.12 = 457.84 : x
  2. Step 2: Convert to fraction form
    498.88/747.12 = 457.84/x
  3. Step 3: Cross multiply
    498.88x = 747.12 × 457.84
  4. Step 4: Simplify right side
    498.88x = 342,061.42
  5. Step 5: Solve for x
    x = 342,061.42/498.88
  6. Step 6: Final answer
    x = 685.66

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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.