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Finding the Fourth Proportional to 382.52, 527.85 and 242.66

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Solution

The fourth proportional to 382.52, 527.85 and 242.66 is: 334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.52 : 527.85 = 242.66 : x
  2. Step 2: Convert to fraction form
    382.52/527.85 = 242.66/x
  3. Step 3: Cross multiply
    382.52x = 527.85 × 242.66
  4. Step 4: Simplify right side
    382.52x = 128,089.40
  5. Step 5: Solve for x
    x = 128,089.40/382.52
  6. Step 6: Final answer
    x = 334.85

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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.