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Finding the Fourth Proportional to 417.75, 576.50 and 233.75

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Solution

The fourth proportional to 417.75, 576.50 and 233.75 is: 322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.75 : 576.50 = 233.75 : x
  2. Step 2: Convert to fraction form
    417.75/576.50 = 233.75/x
  3. Step 3: Cross multiply
    417.75x = 576.50 × 233.75
  4. Step 4: Simplify right side
    417.75x = 134,756.88
  5. Step 5: Solve for x
    x = 134,756.88/417.75
  6. Step 6: Final answer
    x = 322.58

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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.