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Finding the Fourth Proportional to 376.10, 563.66 and 260.36

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Solution

The fourth proportional to 376.10, 563.66 and 260.36 is: 390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.10 : 563.66 = 260.36 : x
  2. Step 2: Convert to fraction form
    376.10/563.66 = 260.36/x
  3. Step 3: Cross multiply
    376.10x = 563.66 × 260.36
  4. Step 4: Simplify right side
    376.10x = 146,750.40
  5. Step 5: Solve for x
    x = 146,750.40/376.10
  6. Step 6: Final answer
    x = 390.20

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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.