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Finding the Fourth Proportional to 563.14, 777.17 and 314.46

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Solution

The fourth proportional to 563.14, 777.17 and 314.46 is: 433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.14 : 777.17 = 314.46 : x
  2. Step 2: Convert to fraction form
    563.14/777.17 = 314.46/x
  3. Step 3: Cross multiply
    563.14x = 777.17 × 314.46
  4. Step 4: Simplify right side
    563.14x = 244,388.88
  5. Step 5: Solve for x
    x = 244,388.88/563.14
  6. Step 6: Final answer
    x = 433.98

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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.