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Finding the Fourth Proportional to 566.32, 849.42 and 176.32

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Solution

The fourth proportional to 566.32, 849.42 and 176.32 is: 264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.32 : 849.42 = 176.32 : x
  2. Step 2: Convert to fraction form
    566.32/849.42 = 176.32/x
  3. Step 3: Cross multiply
    566.32x = 849.42 × 176.32
  4. Step 4: Simplify right side
    566.32x = 149,769.73
  5. Step 5: Solve for x
    x = 149,769.73/566.32
  6. Step 6: Final answer
    x = 264.46

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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.