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Finding the Fourth Proportional to 564.45, 778.34 and 354.56

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Solution

The fourth proportional to 564.45, 778.34 and 354.56 is: 488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.45 : 778.34 = 354.56 : x
  2. Step 2: Convert to fraction form
    564.45/778.34 = 354.56/x
  3. Step 3: Cross multiply
    564.45x = 778.34 × 354.56
  4. Step 4: Simplify right side
    564.45x = 275,962.57
  5. Step 5: Solve for x
    x = 275,962.57/564.45
  6. Step 6: Final answer
    x = 488.91

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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.