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Finding the Fourth Proportional to 382.47, 527.46 and 242.36

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Solution

The fourth proportional to 382.47, 527.46 and 242.36 is: 334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.47 : 527.46 = 242.36 : x
  2. Step 2: Convert to fraction form
    382.47/527.46 = 242.36/x
  3. Step 3: Cross multiply
    382.47x = 527.46 × 242.36
  4. Step 4: Simplify right side
    382.47x = 127,832.57
  5. Step 5: Solve for x
    x = 127,832.57/382.47
  6. Step 6: Final answer
    x = 334.23

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Why These Related Problems?

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