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Finding the Fourth Proportional to 563.82, 778.06 and 315.16

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Solution

The fourth proportional to 563.82, 778.06 and 315.16 is: 434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.82 : 778.06 = 315.16 : x
  2. Step 2: Convert to fraction form
    563.82/778.06 = 315.16/x
  3. Step 3: Cross multiply
    563.82x = 778.06 × 315.16
  4. Step 4: Simplify right side
    563.82x = 245,213.39
  5. Step 5: Solve for x
    x = 245,213.39/563.82
  6. Step 6: Final answer
    x = 434.91

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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.