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Finding the Fourth Proportional to 563.95, 778.27 and 315.30

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Solution

The fourth proportional to 563.95, 778.27 and 315.30 is: 435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.95 : 778.27 = 315.30 : x
  2. Step 2: Convert to fraction form
    563.95/778.27 = 315.30/x
  3. Step 3: Cross multiply
    563.95x = 778.27 × 315.30
  4. Step 4: Simplify right side
    563.95x = 245,388.53
  5. Step 5: Solve for x
    x = 245,388.53/563.95
  6. Step 6: Final answer
    x = 435.12

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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.