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Finding the Fourth Proportional to 938.62, 1,407.84 and 418.64

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Solution

The fourth proportional to 938.62, 1,407.84 and 418.64 is: 627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.62 : 1,407.84 = 418.64 : x
  2. Step 2: Convert to fraction form
    938.62/1,407.84 = 418.64/x
  3. Step 3: Cross multiply
    938.62x = 1,407.84 × 418.64
  4. Step 4: Simplify right side
    938.62x = 589,378.14
  5. Step 5: Solve for x
    x = 589,378.14/938.62
  6. Step 6: Final answer
    x = 627.92

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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.