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Finding the Fourth Proportional to 723.98, 998.88 and 475.40

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Solution

The fourth proportional to 723.98, 998.88 and 475.40 is: 655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.98 : 998.88 = 475.40 : x
  2. Step 2: Convert to fraction form
    723.98/998.88 = 475.40/x
  3. Step 3: Cross multiply
    723.98x = 998.88 × 475.40
  4. Step 4: Simplify right side
    723.98x = 474,867.55
  5. Step 5: Solve for x
    x = 474,867.55/723.98
  6. Step 6: Final answer
    x = 655.91

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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.