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Finding the Fourth Proportional to 581.23, 872.16 and 385.75

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Solution

The fourth proportional to 581.23, 872.16 and 385.75 is: 578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.23 : 872.16 = 385.75 : x
  2. Step 2: Convert to fraction form
    581.23/872.16 = 385.75/x
  3. Step 3: Cross multiply
    581.23x = 872.16 × 385.75
  4. Step 4: Simplify right side
    581.23x = 336,435.72
  5. Step 5: Solve for x
    x = 336,435.72/581.23
  6. Step 6: Final answer
    x = 578.83

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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.