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Finding the Fourth Proportional to 563.75, 778.59 and 387.18

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Solution

The fourth proportional to 563.75, 778.59 and 387.18 is: 534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.75 : 778.59 = 387.18 : x
  2. Step 2: Convert to fraction form
    563.75/778.59 = 387.18/x
  3. Step 3: Cross multiply
    563.75x = 778.59 × 387.18
  4. Step 4: Simplify right side
    563.75x = 301,453.02
  5. Step 5: Solve for x
    x = 301,453.02/563.75
  6. Step 6: Final answer
    x = 534.73

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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.