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Finding the Fourth Proportional to 726.24, 1,002.32 and 415.84

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Solution

The fourth proportional to 726.24, 1,002.32 and 415.84 is: 573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.24 : 1,002.32 = 415.84 : x
  2. Step 2: Convert to fraction form
    726.24/1,002.32 = 415.84/x
  3. Step 3: Cross multiply
    726.24x = 1,002.32 × 415.84
  4. Step 4: Simplify right side
    726.24x = 416,804.75
  5. Step 5: Solve for x
    x = 416,804.75/726.24
  6. Step 6: Final answer
    x = 573.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.