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Finding the Fourth Proportional to 564.15, 845.61 and 255.57

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Solution

The fourth proportional to 564.15, 845.61 and 255.57 is: 383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.15 : 845.61 = 255.57 : x
  2. Step 2: Convert to fraction form
    564.15/845.61 = 255.57/x
  3. Step 3: Cross multiply
    564.15x = 845.61 × 255.57
  4. Step 4: Simplify right side
    564.15x = 216,112.55
  5. Step 5: Solve for x
    x = 216,112.55/564.15
  6. Step 6: Final answer
    x = 383.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.