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Finding the Fourth Proportional to 498.24, 747.08 and 293.20

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Solution

The fourth proportional to 498.24, 747.08 and 293.20 is: 439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 747.08 = 293.20 : x
  2. Step 2: Convert to fraction form
    498.24/747.08 = 293.20/x
  3. Step 3: Cross multiply
    498.24x = 747.08 × 293.20
  4. Step 4: Simplify right side
    498.24x = 219,043.86
  5. Step 5: Solve for x
    x = 219,043.86/498.24
  6. Step 6: Final answer
    x = 439.64

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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.