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Finding the Fourth Proportional to 295.53, 442.30 and 267.82

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Solution

The fourth proportional to 295.53, 442.30 and 267.82 is: 400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.53 : 442.30 = 267.82 : x
  2. Step 2: Convert to fraction form
    295.53/442.30 = 267.82/x
  3. Step 3: Cross multiply
    295.53x = 442.30 × 267.82
  4. Step 4: Simplify right side
    295.53x = 118,456.79
  5. Step 5: Solve for x
    x = 118,456.79/295.53
  6. Step 6: Final answer
    x = 400.83

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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.