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Finding the Fourth Proportional to 378.72, 522.18 and 337.68

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Solution

The fourth proportional to 378.72, 522.18 and 337.68 is: 465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.72 : 522.18 = 337.68 : x
  2. Step 2: Convert to fraction form
    378.72/522.18 = 337.68/x
  3. Step 3: Cross multiply
    378.72x = 522.18 × 337.68
  4. Step 4: Simplify right side
    378.72x = 176,329.74
  5. Step 5: Solve for x
    x = 176,329.74/378.72
  6. Step 6: Final answer
    x = 465.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.