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Finding the Fourth Proportional to 908.74, 1,362.84 and 259.30

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Solution

The fourth proportional to 908.74, 1,362.84 and 259.30 is: 388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.74 : 1,362.84 = 259.30 : x
  2. Step 2: Convert to fraction form
    908.74/1,362.84 = 259.30/x
  3. Step 3: Cross multiply
    908.74x = 1,362.84 × 259.30
  4. Step 4: Simplify right side
    908.74x = 353,384.41
  5. Step 5: Solve for x
    x = 353,384.41/908.74
  6. Step 6: Final answer
    x = 388.87

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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.