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Finding the Fourth Proportional to 285.45, 425.94 and 268.04

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Solution

The fourth proportional to 285.45, 425.94 and 268.04 is: 399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.45 : 425.94 = 268.04 : x
  2. Step 2: Convert to fraction form
    285.45/425.94 = 268.04/x
  3. Step 3: Cross multiply
    285.45x = 425.94 × 268.04
  4. Step 4: Simplify right side
    285.45x = 114,165.49
  5. Step 5: Solve for x
    x = 114,165.49/285.45
  6. Step 6: Final answer
    x = 399.95

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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.