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Finding the Fourth Proportional to 563.46, 777.50 and 314.79

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Solution

The fourth proportional to 563.46, 777.50 and 314.79 is: 434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.46 : 777.50 = 314.79 : x
  2. Step 2: Convert to fraction form
    563.46/777.50 = 314.79/x
  3. Step 3: Cross multiply
    563.46x = 777.50 × 314.79
  4. Step 4: Simplify right side
    563.46x = 244,745.92
  5. Step 5: Solve for x
    x = 244,745.92/563.46
  6. Step 6: Final answer
    x = 434.37

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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.