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Finding the Fourth Proportional to 318.77, 478.34 and 172.52

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Solution

The fourth proportional to 318.77, 478.34 and 172.52 is: 258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.77 : 478.34 = 172.52 : x
  2. Step 2: Convert to fraction form
    318.77/478.34 = 172.52/x
  3. Step 3: Cross multiply
    318.77x = 478.34 × 172.52
  4. Step 4: Simplify right side
    318.77x = 82,521.92
  5. Step 5: Solve for x
    x = 82,521.92/318.77
  6. Step 6: Final answer
    x = 258.87

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