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Finding the Fourth Proportional to 719.06, 992.04 and 424.22

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Solution

The fourth proportional to 719.06, 992.04 and 424.22 is: 585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.06 : 992.04 = 424.22 : x
  2. Step 2: Convert to fraction form
    719.06/992.04 = 424.22/x
  3. Step 3: Cross multiply
    719.06x = 992.04 × 424.22
  4. Step 4: Simplify right side
    719.06x = 420,843.21
  5. Step 5: Solve for x
    x = 420,843.21/719.06
  6. Step 6: Final answer
    x = 585.27

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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.