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Finding the Fourth Proportional to 908.14, 1,362.12 and 421.19

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Solution

The fourth proportional to 908.14, 1,362.12 and 421.19 is: 631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.14 : 1,362.12 = 421.19 : x
  2. Step 2: Convert to fraction form
    908.14/1,362.12 = 421.19/x
  3. Step 3: Cross multiply
    908.14x = 1,362.12 × 421.19
  4. Step 4: Simplify right side
    908.14x = 573,711.32
  5. Step 5: Solve for x
    x = 573,711.32/908.14
  6. Step 6: Final answer
    x = 631.74

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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.