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Finding the Fourth Proportional to 719.02, 992.20 and 424.23

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Solution

The fourth proportional to 719.02, 992.20 and 424.23 is: 585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.02 : 992.20 = 424.23 : x
  2. Step 2: Convert to fraction form
    719.02/992.20 = 424.23/x
  3. Step 3: Cross multiply
    719.02x = 992.20 × 424.23
  4. Step 4: Simplify right side
    719.02x = 420,921.01
  5. Step 5: Solve for x
    x = 420,921.01/719.02
  6. Step 6: Final answer
    x = 585.41

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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.