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Finding the Fourth Proportional to 581.52, 866 and 578.64

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Solution

The fourth proportional to 581.52, 866 and 578.64 is: 861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.52 : 866 = 578.64 : x
  2. Step 2: Convert to fraction form
    581.52/866 = 578.64/x
  3. Step 3: Cross multiply
    581.52x = 866 × 578.64
  4. Step 4: Simplify right side
    581.52x = 501,102.24
  5. Step 5: Solve for x
    x = 501,102.24/581.52
  6. Step 6: Final answer
    x = 861.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.