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Finding the Fourth Proportional to 908.51, 1,362.90 and 421.70

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Solution

The fourth proportional to 908.51, 1,362.90 and 421.70 is: 632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.51 : 1,362.90 = 421.70 : x
  2. Step 2: Convert to fraction form
    908.51/1,362.90 = 421.70/x
  3. Step 3: Cross multiply
    908.51x = 1,362.90 × 421.70
  4. Step 4: Simplify right side
    908.51x = 574,734.93
  5. Step 5: Solve for x
    x = 574,734.93/908.51
  6. Step 6: Final answer
    x = 632.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.