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Finding the Fourth Proportional to 417.90, 576.71 and 231.40

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Solution

The fourth proportional to 417.90, 576.71 and 231.40 is: 319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.90 : 576.71 = 231.40 : x
  2. Step 2: Convert to fraction form
    417.90/576.71 = 231.40/x
  3. Step 3: Cross multiply
    417.90x = 576.71 × 231.40
  4. Step 4: Simplify right side
    417.90x = 133,450.69
  5. Step 5: Solve for x
    x = 133,450.69/417.90
  6. Step 6: Final answer
    x = 319.34

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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.