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Finding the Fourth Proportional to 495.46, 742.17 and 358.78

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Solution

The fourth proportional to 495.46, 742.17 and 358.78 is: 537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.46 : 742.17 = 358.78 : x
  2. Step 2: Convert to fraction form
    495.46/742.17 = 358.78/x
  3. Step 3: Cross multiply
    495.46x = 742.17 × 358.78
  4. Step 4: Simplify right side
    495.46x = 266,275.75
  5. Step 5: Solve for x
    x = 266,275.75/495.46
  6. Step 6: Final answer
    x = 537.43

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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.