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Finding the Fourth Proportional to 719.02, 992.26 and 424.24

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Solution

The fourth proportional to 719.02, 992.26 and 424.24 is: 585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.02 : 992.26 = 424.24 : x
  2. Step 2: Convert to fraction form
    719.02/992.26 = 424.24/x
  3. Step 3: Cross multiply
    719.02x = 992.26 × 424.24
  4. Step 4: Simplify right side
    719.02x = 420,956.38
  5. Step 5: Solve for x
    x = 420,956.38/719.02
  6. Step 6: Final answer
    x = 585.46

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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.