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Finding the Fourth Proportional to 376.29, 563.93 and 260.55

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Solution

The fourth proportional to 376.29, 563.93 and 260.55 is: 390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.29 : 563.93 = 260.55 : x
  2. Step 2: Convert to fraction form
    376.29/563.93 = 260.55/x
  3. Step 3: Cross multiply
    376.29x = 563.93 × 260.55
  4. Step 4: Simplify right side
    376.29x = 146,930.66
  5. Step 5: Solve for x
    x = 146,930.66/376.29
  6. Step 6: Final answer
    x = 390.47

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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.