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Finding the Fourth Proportional to 723.56, 998.40 and 413

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Solution

The fourth proportional to 723.56, 998.40 and 413 is: 569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.56 : 998.40 = 413 : x
  2. Step 2: Convert to fraction form
    723.56/998.40 = 413/x
  3. Step 3: Cross multiply
    723.56x = 998.40 × 413
  4. Step 4: Simplify right side
    723.56x = 412,339.20
  5. Step 5: Solve for x
    x = 412,339.20/723.56
  6. Step 6: Final answer
    x = 569.88

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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.