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Finding the Fourth Proportional to 563.25, 777.28 and 311.18

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Solution

The fourth proportional to 563.25, 777.28 and 311.18 is: 429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.25 : 777.28 = 311.18 : x
  2. Step 2: Convert to fraction form
    563.25/777.28 = 311.18/x
  3. Step 3: Cross multiply
    563.25x = 777.28 × 311.18
  4. Step 4: Simplify right side
    563.25x = 241,873.99
  5. Step 5: Solve for x
    x = 241,873.99/563.25
  6. Step 6: Final answer
    x = 429.43

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Why These Related Problems?

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