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Finding the Fourth Proportional to 295.84, 406.92 and 252.10

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Solution

The fourth proportional to 295.84, 406.92 and 252.10 is: 346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.84 : 406.92 = 252.10 : x
  2. Step 2: Convert to fraction form
    295.84/406.92 = 252.10/x
  3. Step 3: Cross multiply
    295.84x = 406.92 × 252.10
  4. Step 4: Simplify right side
    295.84x = 102,584.53
  5. Step 5: Solve for x
    x = 102,584.53/295.84
  6. Step 6: Final answer
    x = 346.76

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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.