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Finding the Fourth Proportional to 908.58, 1,362.70 and 292.14

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Solution

The fourth proportional to 908.58, 1,362.70 and 292.14 is: 438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.58 : 1,362.70 = 292.14 : x
  2. Step 2: Convert to fraction form
    908.58/1,362.70 = 292.14/x
  3. Step 3: Cross multiply
    908.58x = 1,362.70 × 292.14
  4. Step 4: Simplify right side
    908.58x = 398,099.54
  5. Step 5: Solve for x
    x = 398,099.54/908.58
  6. Step 6: Final answer
    x = 438.15

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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.