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Finding the Fourth Proportional to 467.92, 700.80 and 262.18

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Solution

The fourth proportional to 467.92, 700.80 and 262.18 is: 392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.92 : 700.80 = 262.18 : x
  2. Step 2: Convert to fraction form
    467.92/700.80 = 262.18/x
  3. Step 3: Cross multiply
    467.92x = 700.80 × 262.18
  4. Step 4: Simplify right side
    467.92x = 183,735.74
  5. Step 5: Solve for x
    x = 183,735.74/467.92
  6. Step 6: Final answer
    x = 392.66

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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.