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Finding the Fourth Proportional to 425.90, 587.57 and 268.49

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Solution

The fourth proportional to 425.90, 587.57 and 268.49 is: 370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.90 : 587.57 = 268.49 : x
  2. Step 2: Convert to fraction form
    425.90/587.57 = 268.49/x
  3. Step 3: Cross multiply
    425.90x = 587.57 × 268.49
  4. Step 4: Simplify right side
    425.90x = 157,752.39
  5. Step 5: Solve for x
    x = 157,752.39/425.90
  6. Step 6: Final answer
    x = 370.40

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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.