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Finding the Fourth Proportional to 583.16, 868.13 and 580.08

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Solution

The fourth proportional to 583.16, 868.13 and 580.08 is: 863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.16 : 868.13 = 580.08 : x
  2. Step 2: Convert to fraction form
    583.16/868.13 = 580.08/x
  3. Step 3: Cross multiply
    583.16x = 868.13 × 580.08
  4. Step 4: Simplify right side
    583.16x = 503,584.85
  5. Step 5: Solve for x
    x = 503,584.85/583.16
  6. Step 6: Final answer
    x = 863.54

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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.