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Finding the Fourth Proportional to 908.22, 1,362.42 and 291.77

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Solution

The fourth proportional to 908.22, 1,362.42 and 291.77 is: 437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.22 : 1,362.42 = 291.77 : x
  2. Step 2: Convert to fraction form
    908.22/1,362.42 = 291.77/x
  3. Step 3: Cross multiply
    908.22x = 1,362.42 × 291.77
  4. Step 4: Simplify right side
    908.22x = 397,513.28
  5. Step 5: Solve for x
    x = 397,513.28/908.22
  6. Step 6: Final answer
    x = 437.68

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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.