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Finding the Fourth Proportional to 719.25, 992.33 and 424.46

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Solution

The fourth proportional to 719.25, 992.33 and 424.46 is: 585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.25 : 992.33 = 424.46 : x
  2. Step 2: Convert to fraction form
    719.25/992.33 = 424.46/x
  3. Step 3: Cross multiply
    719.25x = 992.33 × 424.46
  4. Step 4: Simplify right side
    719.25x = 421,204.39
  5. Step 5: Solve for x
    x = 421,204.39/719.25
  6. Step 6: Final answer
    x = 585.62

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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.