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Finding the Fourth Proportional to 318.53, 478.52 and 264.53

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Solution

The fourth proportional to 318.53, 478.52 and 264.53 is: 397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.53 : 478.52 = 264.53 : x
  2. Step 2: Convert to fraction form
    318.53/478.52 = 264.53/x
  3. Step 3: Cross multiply
    318.53x = 478.52 × 264.53
  4. Step 4: Simplify right side
    318.53x = 126,581.57
  5. Step 5: Solve for x
    x = 126,581.57/318.53
  6. Step 6: Final answer
    x = 397.39

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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.