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Finding the Fourth Proportional to 564.28, 778.48 and 354.39

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Solution

The fourth proportional to 564.28, 778.48 and 354.39 is: 488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.28 : 778.48 = 354.39 : x
  2. Step 2: Convert to fraction form
    564.28/778.48 = 354.39/x
  3. Step 3: Cross multiply
    564.28x = 778.48 × 354.39
  4. Step 4: Simplify right side
    564.28x = 275,886.10
  5. Step 5: Solve for x
    x = 275,886.10/564.28
  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.