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Finding the Fourth Proportional to 581.97, 873.29 and 216.75

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Solution

The fourth proportional to 581.97, 873.29 and 216.75 is: 325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.97 : 873.29 = 216.75 : x
  2. Step 2: Convert to fraction form
    581.97/873.29 = 216.75/x
  3. Step 3: Cross multiply
    581.97x = 873.29 × 216.75
  4. Step 4: Simplify right side
    581.97x = 189,286.15
  5. Step 5: Solve for x
    x = 189,286.15/581.97
  6. Step 6: Final answer
    x = 325.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.