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Finding the Fourth Proportional to 564.47, 779.06 and 354.83

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Solution

The fourth proportional to 564.47, 779.06 and 354.83 is: 489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.47 : 779.06 = 354.83 : x
  2. Step 2: Convert to fraction form
    564.47/779.06 = 354.83/x
  3. Step 3: Cross multiply
    564.47x = 779.06 × 354.83
  4. Step 4: Simplify right side
    564.47x = 276,433.86
  5. Step 5: Solve for x
    x = 276,433.86/564.47
  6. Step 6: Final answer
    x = 489.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.