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Finding the Fourth Proportional to 498.63, 747.75 and 293.25

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Solution

The fourth proportional to 498.63, 747.75 and 293.25 is: 439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.63 : 747.75 = 293.25 : x
  2. Step 2: Convert to fraction form
    498.63/747.75 = 293.25/x
  3. Step 3: Cross multiply
    498.63x = 747.75 × 293.25
  4. Step 4: Simplify right side
    498.63x = 219,277.69
  5. Step 5: Solve for x
    x = 219,277.69/498.63
  6. Step 6: Final answer
    x = 439.76

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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.