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Finding the Fourth Proportional to 564, 778.34 and 315.33

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Solution

The fourth proportional to 564, 778.34 and 315.33 is: 435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564 : 778.34 = 315.33 : x
  2. Step 2: Convert to fraction form
    564/778.34 = 315.33/x
  3. Step 3: Cross multiply
    564x = 778.34 × 315.33
  4. Step 4: Simplify right side
    564x = 245,433.95
  5. Step 5: Solve for x
    x = 245,433.95/564
  6. Step 6: Final answer
    x = 435.17

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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.