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Finding the Fourth Proportional to 564.54, 779.02 and 354.71

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Solution

The fourth proportional to 564.54, 779.02 and 354.71 is: 489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.54 : 779.02 = 354.71 : x
  2. Step 2: Convert to fraction form
    564.54/779.02 = 354.71/x
  3. Step 3: Cross multiply
    564.54x = 779.02 × 354.71
  4. Step 4: Simplify right side
    564.54x = 276,326.18
  5. Step 5: Solve for x
    x = 276,326.18/564.54
  6. Step 6: Final answer
    x = 489.47

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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.