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Finding the Fourth Proportional to 498.83, 747.63 and 293.49

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Solution

The fourth proportional to 498.83, 747.63 and 293.49 is: 439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.83 : 747.63 = 293.49 : x
  2. Step 2: Convert to fraction form
    498.83/747.63 = 293.49/x
  3. Step 3: Cross multiply
    498.83x = 747.63 × 293.49
  4. Step 4: Simplify right side
    498.83x = 219,421.93
  5. Step 5: Solve for x
    x = 219,421.93/498.83
  6. Step 6: Final answer
    x = 439.88

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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.