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Finding the Fourth Proportional to 467.81, 701.76 and 381.92

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Solution

The fourth proportional to 467.81, 701.76 and 381.92 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.81 : 701.76 = 381.92 : x
  2. Step 2: Convert to fraction form
    467.81/701.76 = 381.92/x
  3. Step 3: Cross multiply
    467.81x = 701.76 × 381.92
  4. Step 4: Simplify right side
    467.81x = 268,014.10
  5. Step 5: Solve for x
    x = 268,014.10/467.81
  6. Step 6: Final answer
    x = 572.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.