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Finding the Fourth Proportional to 497.97, 745.43 and 411.10

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Solution

The fourth proportional to 497.97, 745.43 and 411.10 is: 615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.97 : 745.43 = 411.10 : x
  2. Step 2: Convert to fraction form
    497.97/745.43 = 411.10/x
  3. Step 3: Cross multiply
    497.97x = 745.43 × 411.10
  4. Step 4: Simplify right side
    497.97x = 306,446.27
  5. Step 5: Solve for x
    x = 306,446.27/497.97
  6. Step 6: Final answer
    x = 615.39

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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.