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Finding the Fourth Proportional to 295.26, 441.38 and 233.70

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Solution

The fourth proportional to 295.26, 441.38 and 233.70 is: 349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.26 : 441.38 = 233.70 : x
  2. Step 2: Convert to fraction form
    295.26/441.38 = 233.70/x
  3. Step 3: Cross multiply
    295.26x = 441.38 × 233.70
  4. Step 4: Simplify right side
    295.26x = 103,149.34
  5. Step 5: Solve for x
    x = 103,149.34/295.26
  6. Step 6: Final answer
    x = 349.35

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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.