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Finding the Fourth Proportional to 417.25, 576.03 and 251.50

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Solution

The fourth proportional to 417.25, 576.03 and 251.50 is: 347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.25 : 576.03 = 251.50 : x
  2. Step 2: Convert to fraction form
    417.25/576.03 = 251.50/x
  3. Step 3: Cross multiply
    417.25x = 576.03 × 251.50
  4. Step 4: Simplify right side
    417.25x = 144,871.55
  5. Step 5: Solve for x
    x = 144,871.55/417.25
  6. Step 6: Final answer
    x = 347.21

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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.