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Finding the Fourth Proportional to 295.27, 442.19 and 286.63

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Solution

The fourth proportional to 295.27, 442.19 and 286.63 is: 429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.27 : 442.19 = 286.63 : x
  2. Step 2: Convert to fraction form
    295.27/442.19 = 286.63/x
  3. Step 3: Cross multiply
    295.27x = 442.19 × 286.63
  4. Step 4: Simplify right side
    295.27x = 126,743.49
  5. Step 5: Solve for x
    x = 126,743.49/295.27
  6. Step 6: Final answer
    x = 429.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.