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Finding the Fourth Proportional to 498.32, 747.80 and 444.86

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Solution

The fourth proportional to 498.32, 747.80 and 444.86 is: 667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.32 : 747.80 = 444.86 : x
  2. Step 2: Convert to fraction form
    498.32/747.80 = 444.86/x
  3. Step 3: Cross multiply
    498.32x = 747.80 × 444.86
  4. Step 4: Simplify right side
    498.32x = 332,666.31
  5. Step 5: Solve for x
    x = 332,666.31/498.32
  6. Step 6: Final answer
    x = 667.58

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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.