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Finding the Fourth Proportional to 417.49, 576.16 and 231.01

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Solution

The fourth proportional to 417.49, 576.16 and 231.01 is: 318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.49 : 576.16 = 231.01 : x
  2. Step 2: Convert to fraction form
    417.49/576.16 = 231.01/x
  3. Step 3: Cross multiply
    417.49x = 576.16 × 231.01
  4. Step 4: Simplify right side
    417.49x = 133,096.70
  5. Step 5: Solve for x
    x = 133,096.70/417.49
  6. Step 6: Final answer
    x = 318.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.