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Finding the Fourth Proportional to 498.24, 747.09 and 189.86

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Solution

The fourth proportional to 498.24, 747.09 and 189.86 is: 284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 747.09 = 189.86 : x
  2. Step 2: Convert to fraction form
    498.24/747.09 = 189.86/x
  3. Step 3: Cross multiply
    498.24x = 747.09 × 189.86
  4. Step 4: Simplify right side
    498.24x = 141,838.77
  5. Step 5: Solve for x
    x = 141,838.77/498.24
  6. Step 6: Final answer
    x = 284.68

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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.