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Finding the Fourth Proportional to 295.25, 439.76 and 279.83

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Solution

The fourth proportional to 295.25, 439.76 and 279.83 is: 416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.25 : 439.76 = 279.83 : x
  2. Step 2: Convert to fraction form
    295.25/439.76 = 279.83/x
  3. Step 3: Cross multiply
    295.25x = 439.76 × 279.83
  4. Step 4: Simplify right side
    295.25x = 123,058.04
  5. Step 5: Solve for x
    x = 123,058.04/295.25
  6. Step 6: Final answer
    x = 416.79

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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.