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Finding the Fourth Proportional to 563.85, 778.05 and 315.14

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Solution

The fourth proportional to 563.85, 778.05 and 315.14 is: 434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.85 : 778.05 = 315.14 : x
  2. Step 2: Convert to fraction form
    563.85/778.05 = 315.14/x
  3. Step 3: Cross multiply
    563.85x = 778.05 × 315.14
  4. Step 4: Simplify right side
    563.85x = 245,190.79
  5. Step 5: Solve for x
    x = 245,190.79/563.85
  6. Step 6: Final answer
    x = 434.85

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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.