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Finding the Fourth Proportional to 497.24, 745.88 and 411.24

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Solution

The fourth proportional to 497.24, 745.88 and 411.24 is: 616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.24 : 745.88 = 411.24 : x
  2. Step 2: Convert to fraction form
    497.24/745.88 = 411.24/x
  3. Step 3: Cross multiply
    497.24x = 745.88 × 411.24
  4. Step 4: Simplify right side
    497.24x = 306,736.43
  5. Step 5: Solve for x
    x = 306,736.43/497.24
  6. Step 6: Final answer
    x = 616.88

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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.