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Finding the Fourth Proportional to 563.29, 777.31 and 314.60

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Solution

The fourth proportional to 563.29, 777.31 and 314.60 is: 434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.29 : 777.31 = 314.60 : x
  2. Step 2: Convert to fraction form
    563.29/777.31 = 314.60/x
  3. Step 3: Cross multiply
    563.29x = 777.31 × 314.60
  4. Step 4: Simplify right side
    563.29x = 244,541.73
  5. Step 5: Solve for x
    x = 244,541.73/563.29
  6. Step 6: Final answer
    x = 434.13

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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.