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Finding the Fourth Proportional to 719.49, 992.49 and 424.73

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Solution

The fourth proportional to 719.49, 992.49 and 424.73 is: 585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.49 : 992.49 = 424.73 : x
  2. Step 2: Convert to fraction form
    719.49/992.49 = 424.73/x
  3. Step 3: Cross multiply
    719.49x = 992.49 × 424.73
  4. Step 4: Simplify right side
    719.49x = 421,540.28
  5. Step 5: Solve for x
    x = 421,540.28/719.49
  6. Step 6: Final answer
    x = 585.89

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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.