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Finding the Fourth Proportional to 581.46, 871.80 and 216.16

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Solution

The fourth proportional to 581.46, 871.80 and 216.16 is: 324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.46 : 871.80 = 216.16 : x
  2. Step 2: Convert to fraction form
    581.46/871.80 = 216.16/x
  3. Step 3: Cross multiply
    581.46x = 871.80 × 216.16
  4. Step 4: Simplify right side
    581.46x = 188,448.29
  5. Step 5: Solve for x
    x = 188,448.29/581.46
  6. Step 6: Final answer
    x = 324.10

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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.