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Finding the Fourth Proportional to 497.46, 742.42 and 456.14

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Solution

The fourth proportional to 497.46, 742.42 and 456.14 is: 680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.46 : 742.42 = 456.14 : x
  2. Step 2: Convert to fraction form
    497.46/742.42 = 456.14/x
  3. Step 3: Cross multiply
    497.46x = 742.42 × 456.14
  4. Step 4: Simplify right side
    497.46x = 338,647.46
  5. Step 5: Solve for x
    x = 338,647.46/497.46
  6. Step 6: Final answer
    x = 680.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.