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Finding the Fourth Proportional to 285.78, 425.57 and 268.26

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Solution

The fourth proportional to 285.78, 425.57 and 268.26 is: 399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.78 : 425.57 = 268.26 : x
  2. Step 2: Convert to fraction form
    285.78/425.57 = 268.26/x
  3. Step 3: Cross multiply
    285.78x = 425.57 × 268.26
  4. Step 4: Simplify right side
    285.78x = 114,162.07
  5. Step 5: Solve for x
    x = 114,162.07/285.78
  6. Step 6: Final answer
    x = 399.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.