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Finding the Fourth Proportional to 478.51, 717.76 and 149.44

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Solution

The fourth proportional to 478.51, 717.76 and 149.44 is: 224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.51 : 717.76 = 149.44 : x
  2. Step 2: Convert to fraction form
    478.51/717.76 = 149.44/x
  3. Step 3: Cross multiply
    478.51x = 717.76 × 149.44
  4. Step 4: Simplify right side
    478.51x = 107,262.05
  5. Step 5: Solve for x
    x = 107,262.05/478.51
  6. Step 6: Final answer
    x = 224.16

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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.