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Finding the Fourth Proportional to 758, 1,137.24 and 416.24

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Solution

The fourth proportional to 758, 1,137.24 and 416.24 is: 624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    758 : 1,137.24 = 416.24 : x
  2. Step 2: Convert to fraction form
    758/1,137.24 = 416.24/x
  3. Step 3: Cross multiply
    758x = 1,137.24 × 416.24
  4. Step 4: Simplify right side
    758x = 473,364.78
  5. Step 5: Solve for x
    x = 473,364.78/758
  6. Step 6: Final answer
    x = 624.49

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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.