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Finding the Fourth Proportional to 908.61, 1,362.96 and 259.44

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Solution

The fourth proportional to 908.61, 1,362.96 and 259.44 is: 389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.61 : 1,362.96 = 259.44 : x
  2. Step 2: Convert to fraction form
    908.61/1,362.96 = 259.44/x
  3. Step 3: Cross multiply
    908.61x = 1,362.96 × 259.44
  4. Step 4: Simplify right side
    908.61x = 353,606.34
  5. Step 5: Solve for x
    x = 353,606.34/908.61
  6. Step 6: Final answer
    x = 389.17

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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.