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Finding the Fourth Proportional to 382.55, 527.61 and 242.53

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Solution

The fourth proportional to 382.55, 527.61 and 242.53 is: 334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.55 : 527.61 = 242.53 : x
  2. Step 2: Convert to fraction form
    382.55/527.61 = 242.53/x
  3. Step 3: Cross multiply
    382.55x = 527.61 × 242.53
  4. Step 4: Simplify right side
    382.55x = 127,960.84
  5. Step 5: Solve for x
    x = 127,960.84/382.55
  6. Step 6: Final answer
    x = 334.50

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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.