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Finding the Fourth Proportional to 576.06, 864.10 and 210.81

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Solution

The fourth proportional to 576.06, 864.10 and 210.81 is: 316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.06 : 864.10 = 210.81 : x
  2. Step 2: Convert to fraction form
    576.06/864.10 = 210.81/x
  3. Step 3: Cross multiply
    576.06x = 864.10 × 210.81
  4. Step 4: Simplify right side
    576.06x = 182,164.42
  5. Step 5: Solve for x
    x = 182,164.42/576.06
  6. Step 6: Final answer
    x = 316.23

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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.