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Finding the Fourth Proportional to 808, 1,212.18 and 295

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Solution

The fourth proportional to 808, 1,212.18 and 295 is: 442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    808 : 1,212.18 = 295 : x
  2. Step 2: Convert to fraction form
    808/1,212.18 = 295/x
  3. Step 3: Cross multiply
    808x = 1,212.18 × 295
  4. Step 4: Simplify right side
    808x = 357,593.10
  5. Step 5: Solve for x
    x = 357,593.10/808
  6. Step 6: Final answer
    x = 442.57

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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.