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Finding the Fourth Proportional to 497.10, 744.96 and 410.97

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Solution

The fourth proportional to 497.10, 744.96 and 410.97 is: 615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.10 : 744.96 = 410.97 : x
  2. Step 2: Convert to fraction form
    497.10/744.96 = 410.97/x
  3. Step 3: Cross multiply
    497.10x = 744.96 × 410.97
  4. Step 4: Simplify right side
    497.10x = 306,156.21
  5. Step 5: Solve for x
    x = 306,156.21/497.10
  6. Step 6: Final answer
    x = 615.88

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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.