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Finding the Fourth Proportional to 908.53, 1,362.79 and 360.84

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Solution

The fourth proportional to 908.53, 1,362.79 and 360.84 is: 541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.53 : 1,362.79 = 360.84 : x
  2. Step 2: Convert to fraction form
    908.53/1,362.79 = 360.84/x
  3. Step 3: Cross multiply
    908.53x = 1,362.79 × 360.84
  4. Step 4: Simplify right side
    908.53x = 491,749.14
  5. Step 5: Solve for x
    x = 491,749.14/908.53
  6. Step 6: Final answer
    x = 541.26

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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.