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Finding the Fourth Proportional to 564.83, 779.49 and 354.94

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Solution

The fourth proportional to 564.83, 779.49 and 354.94 is: 489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.83 : 779.49 = 354.94 : x
  2. Step 2: Convert to fraction form
    564.83/779.49 = 354.94/x
  3. Step 3: Cross multiply
    564.83x = 779.49 × 354.94
  4. Step 4: Simplify right side
    564.83x = 276,672.18
  5. Step 5: Solve for x
    x = 276,672.18/564.83
  6. Step 6: Final answer
    x = 489.83

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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.