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Finding the Fourth Proportional to 382.42, 527.77 and 242.52

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Solution

The fourth proportional to 382.42, 527.77 and 242.52 is: 334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.42 : 527.77 = 242.52 : x
  2. Step 2: Convert to fraction form
    382.42/527.77 = 242.52/x
  3. Step 3: Cross multiply
    382.42x = 527.77 × 242.52
  4. Step 4: Simplify right side
    382.42x = 127,994.78
  5. Step 5: Solve for x
    x = 127,994.78/382.42
  6. Step 6: Final answer
    x = 334.70

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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.