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Finding the Fourth Proportional to 425.64, 587.31 and 268.00

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Solution

The fourth proportional to 425.64, 587.31 and 268.00 is: 369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.64 : 587.31 = 268.00 : x
  2. Step 2: Convert to fraction form
    425.64/587.31 = 268.00/x
  3. Step 3: Cross multiply
    425.64x = 587.31 × 268.00
  4. Step 4: Simplify right side
    425.64x = 157,398.62
  5. Step 5: Solve for x
    x = 157,398.62/425.64
  6. Step 6: Final answer
    x = 369.79

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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.