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Finding the Fourth Proportional to 723.74, 998.48 and 475.19

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Solution

The fourth proportional to 723.74, 998.48 and 475.19 is: 655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.74 : 998.48 = 475.19 : x
  2. Step 2: Convert to fraction form
    723.74/998.48 = 475.19/x
  3. Step 3: Cross multiply
    723.74x = 998.48 × 475.19
  4. Step 4: Simplify right side
    723.74x = 474,467.71
  5. Step 5: Solve for x
    x = 474,467.71/723.74
  6. Step 6: Final answer
    x = 655.58

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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.