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Finding the Fourth Proportional to 563.62, 778.15 and 386.88

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Solution

The fourth proportional to 563.62, 778.15 and 386.88 is: 534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.62 : 778.15 = 386.88 : x
  2. Step 2: Convert to fraction form
    563.62/778.15 = 386.88/x
  3. Step 3: Cross multiply
    563.62x = 778.15 × 386.88
  4. Step 4: Simplify right side
    563.62x = 301,048.24
  5. Step 5: Solve for x
    x = 301,048.24/563.62
  6. Step 6: Final answer
    x = 534.13

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