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Finding the Fourth Proportional to 563.14, 777.14 and 330.25

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Solution

The fourth proportional to 563.14, 777.14 and 330.25 is: 455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.14 : 777.14 = 330.25 : x
  2. Step 2: Convert to fraction form
    563.14/777.14 = 330.25/x
  3. Step 3: Cross multiply
    563.14x = 777.14 × 330.25
  4. Step 4: Simplify right side
    563.14x = 256,650.49
  5. Step 5: Solve for x
    x = 256,650.49/563.14
  6. Step 6: Final answer
    x = 455.75

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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.