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Finding the Fourth Proportional to 723.52, 998.46 and 413

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Solution

The fourth proportional to 723.52, 998.46 and 413 is: 569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.52 : 998.46 = 413 : x
  2. Step 2: Convert to fraction form
    723.52/998.46 = 413/x
  3. Step 3: Cross multiply
    723.52x = 998.46 × 413
  4. Step 4: Simplify right side
    723.52x = 412,363.98
  5. Step 5: Solve for x
    x = 412,363.98/723.52
  6. Step 6: Final answer
    x = 569.94

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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.