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Finding the Fourth Proportional to 376.64, 565.14 and 280.64

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Solution

The fourth proportional to 376.64, 565.14 and 280.64 is: 421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.64 : 565.14 = 280.64 : x
  2. Step 2: Convert to fraction form
    376.64/565.14 = 280.64/x
  3. Step 3: Cross multiply
    376.64x = 565.14 × 280.64
  4. Step 4: Simplify right side
    376.64x = 158,600.89
  5. Step 5: Solve for x
    x = 158,600.89/376.64
  6. Step 6: Final answer
    x = 421.09

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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.