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Finding the Fourth Proportional to 723.40, 998.58 and 461.80

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Solution

The fourth proportional to 723.40, 998.58 and 461.80 is: 637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.40 : 998.58 = 461.80 : x
  2. Step 2: Convert to fraction form
    723.40/998.58 = 461.80/x
  3. Step 3: Cross multiply
    723.40x = 998.58 × 461.80
  4. Step 4: Simplify right side
    723.40x = 461,144.24
  5. Step 5: Solve for x
    x = 461,144.24/723.40
  6. Step 6: Final answer
    x = 637.47

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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.