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Finding the Fourth Proportional to 377.14, 565.72 and 255.10

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Solution

The fourth proportional to 377.14, 565.72 and 255.10 is: 382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.14 : 565.72 = 255.10 : x
  2. Step 2: Convert to fraction form
    377.14/565.72 = 255.10/x
  3. Step 3: Cross multiply
    377.14x = 565.72 × 255.10
  4. Step 4: Simplify right side
    377.14x = 144,315.17
  5. Step 5: Solve for x
    x = 144,315.17/377.14
  6. Step 6: Final answer
    x = 382.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.