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Finding the Fourth Proportional to 719.42, 992.89 and 424.68

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Solution

The fourth proportional to 719.42, 992.89 and 424.68 is: 586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.42 : 992.89 = 424.68 : x
  2. Step 2: Convert to fraction form
    719.42/992.89 = 424.68/x
  3. Step 3: Cross multiply
    719.42x = 992.89 × 424.68
  4. Step 4: Simplify right side
    719.42x = 421,657.33
  5. Step 5: Solve for x
    x = 421,657.33/719.42
  6. Step 6: Final answer
    x = 586.11

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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.