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Finding the Fourth Proportional to 408, 563.24 and 260.76

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Solution

The fourth proportional to 408, 563.24 and 260.76 is: 359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 563.24 = 260.76 : x
  2. Step 2: Convert to fraction form
    408/563.24 = 260.76/x
  3. Step 3: Cross multiply
    408x = 563.24 × 260.76
  4. Step 4: Simplify right side
    408x = 146,870.46
  5. Step 5: Solve for x
    x = 146,870.46/408
  6. Step 6: Final answer
    x = 359.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.