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Finding the Fourth Proportional to 564.68, 779.22 and 354.89

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Solution

The fourth proportional to 564.68, 779.22 and 354.89 is: 489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 779.22 = 354.89 : x
  2. Step 2: Convert to fraction form
    564.68/779.22 = 354.89/x
  3. Step 3: Cross multiply
    564.68x = 779.22 × 354.89
  4. Step 4: Simplify right side
    564.68x = 276,533.49
  5. Step 5: Solve for x
    x = 276,533.49/564.68
  6. Step 6: Final answer
    x = 489.72

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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.