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Finding the Fourth Proportional to 376.80, 564.81 and 255.08

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Solution

The fourth proportional to 376.80, 564.81 and 255.08 is: 382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.80 : 564.81 = 255.08 : x
  2. Step 2: Convert to fraction form
    376.80/564.81 = 255.08/x
  3. Step 3: Cross multiply
    376.80x = 564.81 × 255.08
  4. Step 4: Simplify right side
    376.80x = 144,068.91
  5. Step 5: Solve for x
    x = 144,068.91/376.80
  6. Step 6: Final answer
    x = 382.35

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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.