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Finding the Fourth Proportional to 424.00, 635.97 and 207.50

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Solution

The fourth proportional to 424.00, 635.97 and 207.50 is: 311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.00 : 635.97 = 207.50 : x
  2. Step 2: Convert to fraction form
    424.00/635.97 = 207.50/x
  3. Step 3: Cross multiply
    424.00x = 635.97 × 207.50
  4. Step 4: Simplify right side
    424.00x = 131,963.78
  5. Step 5: Solve for x
    x = 131,963.78/424.00
  6. Step 6: Final answer
    x = 311.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.