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Finding the Fourth Proportional to 295.12, 442.32 and 260.97

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Solution

The fourth proportional to 295.12, 442.32 and 260.97 is: 391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.12 : 442.32 = 260.97 : x
  2. Step 2: Convert to fraction form
    295.12/442.32 = 260.97/x
  3. Step 3: Cross multiply
    295.12x = 442.32 × 260.97
  4. Step 4: Simplify right side
    295.12x = 115,432.25
  5. Step 5: Solve for x
    x = 115,432.25/295.12
  6. Step 6: Final answer
    x = 391.14

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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.