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Finding the Fourth Proportional to 719.42, 992.81 and 424.70

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Solution

The fourth proportional to 719.42, 992.81 and 424.70 is: 586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.42 : 992.81 = 424.70 : x
  2. Step 2: Convert to fraction form
    719.42/992.81 = 424.70/x
  3. Step 3: Cross multiply
    719.42x = 992.81 × 424.70
  4. Step 4: Simplify right side
    719.42x = 421,644.28
  5. Step 5: Solve for x
    x = 421,644.28/719.42
  6. Step 6: Final answer
    x = 586.09

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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.