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Finding the Fourth Proportional to 495.34, 742.58 and 252.16

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Solution

The fourth proportional to 495.34, 742.58 and 252.16 is: 378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.34 : 742.58 = 252.16 : x
  2. Step 2: Convert to fraction form
    495.34/742.58 = 252.16/x
  3. Step 3: Cross multiply
    495.34x = 742.58 × 252.16
  4. Step 4: Simplify right side
    495.34x = 187,248.97
  5. Step 5: Solve for x
    x = 187,248.97/495.34
  6. Step 6: Final answer
    x = 378.02

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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.