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Finding the Fourth Proportional to 498.95, 747.84 and 174.14

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Solution

The fourth proportional to 498.95, 747.84 and 174.14 is: 261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.95 : 747.84 = 174.14 : x
  2. Step 2: Convert to fraction form
    498.95/747.84 = 174.14/x
  3. Step 3: Cross multiply
    498.95x = 747.84 × 174.14
  4. Step 4: Simplify right side
    498.95x = 130,228.86
  5. Step 5: Solve for x
    x = 130,228.86/498.95
  6. Step 6: Final answer
    x = 261.01

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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.