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Finding the Fourth Proportional to 563.31, 777.33 and 314.62

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Solution

The fourth proportional to 563.31, 777.33 and 314.62 is: 434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.31 : 777.33 = 314.62 : x
  2. Step 2: Convert to fraction form
    563.31/777.33 = 314.62/x
  3. Step 3: Cross multiply
    563.31x = 777.33 × 314.62
  4. Step 4: Simplify right side
    563.31x = 244,561.62
  5. Step 5: Solve for x
    x = 244,561.62/563.31
  6. Step 6: Final answer
    x = 434.15

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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.