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Finding the Fourth Proportional to 729.23, 1,006.36 and 414.49

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Solution

The fourth proportional to 729.23, 1,006.36 and 414.49 is: 572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.23 : 1,006.36 = 414.49 : x
  2. Step 2: Convert to fraction form
    729.23/1,006.36 = 414.49/x
  3. Step 3: Cross multiply
    729.23x = 1,006.36 × 414.49
  4. Step 4: Simplify right side
    729.23x = 417,119.05
  5. Step 5: Solve for x
    x = 417,119.05/729.23
  6. Step 6: Final answer
    x = 572.00

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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.