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Finding the Fourth Proportional to 563.55, 777.60 and 314.85

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Solution

The fourth proportional to 563.55, 777.60 and 314.85 is: 434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.55 : 777.60 = 314.85 : x
  2. Step 2: Convert to fraction form
    563.55/777.60 = 314.85/x
  3. Step 3: Cross multiply
    563.55x = 777.60 × 314.85
  4. Step 4: Simplify right side
    563.55x = 244,827.36
  5. Step 5: Solve for x
    x = 244,827.36/563.55
  6. Step 6: Final answer
    x = 434.44

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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.