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Finding the Fourth Proportional to 563.21, 777.05 and 314.49

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Solution

The fourth proportional to 563.21, 777.05 and 314.49 is: 433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.21 : 777.05 = 314.49 : x
  2. Step 2: Convert to fraction form
    563.21/777.05 = 314.49/x
  3. Step 3: Cross multiply
    563.21x = 777.05 × 314.49
  4. Step 4: Simplify right side
    563.21x = 244,372.88
  5. Step 5: Solve for x
    x = 244,372.88/563.21
  6. Step 6: Final answer
    x = 433.89

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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.