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Finding the Fourth Proportional to 729.25, 1,006.28 and 434.46

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Solution

The fourth proportional to 729.25, 1,006.28 and 434.46 is: 599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.25 : 1,006.28 = 434.46 : x
  2. Step 2: Convert to fraction form
    729.25/1,006.28 = 434.46/x
  3. Step 3: Cross multiply
    729.25x = 1,006.28 × 434.46
  4. Step 4: Simplify right side
    729.25x = 437,181.21
  5. Step 5: Solve for x
    x = 437,181.21/729.25
  6. Step 6: Final answer
    x = 599.50

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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.