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Finding the Fourth Proportional to 563.82, 778.03 and 315.08

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Solution

The fourth proportional to 563.82, 778.03 and 315.08 is: 434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.82 : 778.03 = 315.08 : x
  2. Step 2: Convert to fraction form
    563.82/778.03 = 315.08/x
  3. Step 3: Cross multiply
    563.82x = 778.03 × 315.08
  4. Step 4: Simplify right side
    563.82x = 245,141.69
  5. Step 5: Solve for x
    x = 245,141.69/563.82
  6. Step 6: Final answer
    x = 434.79

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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.