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Finding the Fourth Proportional to 564.75, 847.56 and 392.63

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Solution

The fourth proportional to 564.75, 847.56 and 392.63 is: 589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 847.56 = 392.63 : x
  2. Step 2: Convert to fraction form
    564.75/847.56 = 392.63/x
  3. Step 3: Cross multiply
    564.75x = 847.56 × 392.63
  4. Step 4: Simplify right side
    564.75x = 332,773.25
  5. Step 5: Solve for x
    x = 332,773.25/564.75
  6. Step 6: Final answer
    x = 589.24

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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.