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Finding the Fourth Proportional to 295.35, 444.65 and 269.83

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Solution

The fourth proportional to 295.35, 444.65 and 269.83 is: 406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.35 : 444.65 = 269.83 : x
  2. Step 2: Convert to fraction form
    295.35/444.65 = 269.83/x
  3. Step 3: Cross multiply
    295.35x = 444.65 × 269.83
  4. Step 4: Simplify right side
    295.35x = 119,979.91
  5. Step 5: Solve for x
    x = 119,979.91/295.35
  6. Step 6: Final answer
    x = 406.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.