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Finding the Fourth Proportional to 295.82, 442.80 and 252.08

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Solution

The fourth proportional to 295.82, 442.80 and 252.08 is: 377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.82 : 442.80 = 252.08 : x
  2. Step 2: Convert to fraction form
    295.82/442.80 = 252.08/x
  3. Step 3: Cross multiply
    295.82x = 442.80 × 252.08
  4. Step 4: Simplify right side
    295.82x = 111,621.02
  5. Step 5: Solve for x
    x = 111,621.02/295.82
  6. Step 6: Final answer
    x = 377.33

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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.