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Finding the Fourth Proportional to 908.23, 1,362.80 and 421.63

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Solution

The fourth proportional to 908.23, 1,362.80 and 421.63 is: 632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.23 : 1,362.80 = 421.63 : x
  2. Step 2: Convert to fraction form
    908.23/1,362.80 = 421.63/x
  3. Step 3: Cross multiply
    908.23x = 1,362.80 × 421.63
  4. Step 4: Simplify right side
    908.23x = 574,597.36
  5. Step 5: Solve for x
    x = 574,597.36/908.23
  6. Step 6: Final answer
    x = 632.66

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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.