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Finding the Fourth Proportional to 376.62, 564.86 and 255.66

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Solution

The fourth proportional to 376.62, 564.86 and 255.66 is: 383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.62 : 564.86 = 255.66 : x
  2. Step 2: Convert to fraction form
    376.62/564.86 = 255.66/x
  3. Step 3: Cross multiply
    376.62x = 564.86 × 255.66
  4. Step 4: Simplify right side
    376.62x = 144,412.11
  5. Step 5: Solve for x
    x = 144,412.11/376.62
  6. Step 6: Final answer
    x = 383.44

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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.