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Finding the Fourth Proportional to 564.50, 778.73 and 354.56

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Solution

The fourth proportional to 564.50, 778.73 and 354.56 is: 489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.50 : 778.73 = 354.56 : x
  2. Step 2: Convert to fraction form
    564.50/778.73 = 354.56/x
  3. Step 3: Cross multiply
    564.50x = 778.73 × 354.56
  4. Step 4: Simplify right side
    564.50x = 276,100.84
  5. Step 5: Solve for x
    x = 276,100.84/564.50
  6. Step 6: Final answer
    x = 489.11

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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.