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Finding the Fourth Proportional to 566.18, 847.97 and 392.06

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Solution

The fourth proportional to 566.18, 847.97 and 392.06 is: 587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.18 : 847.97 = 392.06 : x
  2. Step 2: Convert to fraction form
    566.18/847.97 = 392.06/x
  3. Step 3: Cross multiply
    566.18x = 847.97 × 392.06
  4. Step 4: Simplify right side
    566.18x = 332,448.92
  5. Step 5: Solve for x
    x = 332,448.92/566.18
  6. Step 6: Final answer
    x = 587.18

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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.