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Finding the Fourth Proportional to 417.70, 576.45 and 251.98

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Solution

The fourth proportional to 417.70, 576.45 and 251.98 is: 347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.70 : 576.45 = 251.98 : x
  2. Step 2: Convert to fraction form
    417.70/576.45 = 251.98/x
  3. Step 3: Cross multiply
    417.70x = 576.45 × 251.98
  4. Step 4: Simplify right side
    417.70x = 145,253.87
  5. Step 5: Solve for x
    x = 145,253.87/417.70
  6. Step 6: Final answer
    x = 347.75

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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.