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Finding the Fourth Proportional to 387.36, 534.24 and 329.76

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Solution

The fourth proportional to 387.36, 534.24 and 329.76 is: 454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.36 : 534.24 = 329.76 : x
  2. Step 2: Convert to fraction form
    387.36/534.24 = 329.76/x
  3. Step 3: Cross multiply
    387.36x = 534.24 × 329.76
  4. Step 4: Simplify right side
    387.36x = 176,170.98
  5. Step 5: Solve for x
    x = 176,170.98/387.36
  6. Step 6: Final answer
    x = 454.80

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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.