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Finding the Fourth Proportional to 719.03, 992.14 and 424.36

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Solution

The fourth proportional to 719.03, 992.14 and 424.36 is: 585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.03 : 992.14 = 424.36 : x
  2. Step 2: Convert to fraction form
    719.03/992.14 = 424.36/x
  3. Step 3: Cross multiply
    719.03x = 992.14 × 424.36
  4. Step 4: Simplify right side
    719.03x = 421,019.57
  5. Step 5: Solve for x
    x = 421,019.57/719.03
  6. Step 6: Final answer
    x = 585.54

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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.