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Finding the Fourth Proportional to 295.69, 441.65 and 252.16

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Solution

The fourth proportional to 295.69, 441.65 and 252.16 is: 376.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.69 : 441.65 = 252.16 : x
  2. Step 2: Convert to fraction form
    295.69/441.65 = 252.16/x
  3. Step 3: Cross multiply
    295.69x = 441.65 × 252.16
  4. Step 4: Simplify right side
    295.69x = 111,366.46
  5. Step 5: Solve for x
    x = 111,366.46/295.69
  6. Step 6: Final answer
    x = 376.63

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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.