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Finding the Fourth Proportional to 729.20, 1,006.24 and 434.56

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Solution

The fourth proportional to 729.20, 1,006.24 and 434.56 is: 599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.20 : 1,006.24 = 434.56 : x
  2. Step 2: Convert to fraction form
    729.20/1,006.24 = 434.56/x
  3. Step 3: Cross multiply
    729.20x = 1,006.24 × 434.56
  4. Step 4: Simplify right side
    729.20x = 437,271.65
  5. Step 5: Solve for x
    x = 437,271.65/729.20
  6. Step 6: Final answer
    x = 599.66

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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.