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Finding the Fourth Proportional to 908.20, 1,362.56 and 469.76

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Solution

The fourth proportional to 908.20, 1,362.56 and 469.76 is: 704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.20 : 1,362.56 = 469.76 : x
  2. Step 2: Convert to fraction form
    908.20/1,362.56 = 469.76/x
  3. Step 3: Cross multiply
    908.20x = 1,362.56 × 469.76
  4. Step 4: Simplify right side
    908.20x = 640,076.19
  5. Step 5: Solve for x
    x = 640,076.19/908.20
  6. Step 6: Final answer
    x = 704.77

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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.