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Finding the Fourth Proportional to 498.42, 747.72 and 293.01

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Solution

The fourth proportional to 498.42, 747.72 and 293.01 is: 439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.42 : 747.72 = 293.01 : x
  2. Step 2: Convert to fraction form
    498.42/747.72 = 293.01/x
  3. Step 3: Cross multiply
    498.42x = 747.72 × 293.01
  4. Step 4: Simplify right side
    498.42x = 219,089.44
  5. Step 5: Solve for x
    x = 219,089.44/498.42
  6. Step 6: Final answer
    x = 439.57

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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.