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Finding the Fourth Proportional to 425.40, 637.84 and 252.08

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Solution

The fourth proportional to 425.40, 637.84 and 252.08 is: 377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.40 : 637.84 = 252.08 : x
  2. Step 2: Convert to fraction form
    425.40/637.84 = 252.08/x
  3. Step 3: Cross multiply
    425.40x = 637.84 × 252.08
  4. Step 4: Simplify right side
    425.40x = 160,786.71
  5. Step 5: Solve for x
    x = 160,786.71/425.40
  6. Step 6: Final answer
    x = 377.97

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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.