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Finding the Fourth Proportional to 908, 1,362.61 and 421.06

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Solution

The fourth proportional to 908, 1,362.61 and 421.06 is: 631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    908 : 1,362.61 = 421.06 : x
  2. Step 2: Convert to fraction form
    908/1,362.61 = 421.06/x
  3. Step 3: Cross multiply
    908x = 1,362.61 × 421.06
  4. Step 4: Simplify right side
    908x = 573,740.57
  5. Step 5: Solve for x
    x = 573,740.57/908
  6. Step 6: Final answer
    x = 631.87

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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.