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Finding the Fourth Proportional to 494.92, 742.86 and 358.84

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Solution

The fourth proportional to 494.92, 742.86 and 358.84 is: 538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.92 : 742.86 = 358.84 : x
  2. Step 2: Convert to fraction form
    494.92/742.86 = 358.84/x
  3. Step 3: Cross multiply
    494.92x = 742.86 × 358.84
  4. Step 4: Simplify right side
    494.92x = 266,567.88
  5. Step 5: Solve for x
    x = 266,567.88/494.92
  6. Step 6: Final answer
    x = 538.61

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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.