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Finding the Fourth Proportional to 723.64, 998.58 and 424.85

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Solution

The fourth proportional to 723.64, 998.58 and 424.85 is: 586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.64 : 998.58 = 424.85 : x
  2. Step 2: Convert to fraction form
    723.64/998.58 = 424.85/x
  3. Step 3: Cross multiply
    723.64x = 998.58 × 424.85
  4. Step 4: Simplify right side
    723.64x = 424,241.72
  5. Step 5: Solve for x
    x = 424,241.72/723.64
  6. Step 6: Final answer
    x = 586.26

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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.