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Finding the Fourth Proportional to 719.13, 992.42 and 424.65

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Solution

The fourth proportional to 719.13, 992.42 and 424.65 is: 586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.13 : 992.42 = 424.65 : x
  2. Step 2: Convert to fraction form
    719.13/992.42 = 424.65/x
  3. Step 3: Cross multiply
    719.13x = 992.42 × 424.65
  4. Step 4: Simplify right side
    719.13x = 421,431.15
  5. Step 5: Solve for x
    x = 421,431.15/719.13
  6. Step 6: Final answer
    x = 586.03

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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.