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Finding the Fourth Proportional to 478.40, 716.72 and 262.24

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Solution

The fourth proportional to 478.40, 716.72 and 262.24 is: 392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.40 : 716.72 = 262.24 : x
  2. Step 2: Convert to fraction form
    478.40/716.72 = 262.24/x
  3. Step 3: Cross multiply
    478.40x = 716.72 × 262.24
  4. Step 4: Simplify right side
    478.40x = 187,952.65
  5. Step 5: Solve for x
    x = 187,952.65/478.40
  6. Step 6: Final answer
    x = 392.88

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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.