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Finding the Fourth Proportional to 928.04, 1,392.26 and 278.78

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Solution

The fourth proportional to 928.04, 1,392.26 and 278.78 is: 418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.04 : 1,392.26 = 278.78 : x
  2. Step 2: Convert to fraction form
    928.04/1,392.26 = 278.78/x
  3. Step 3: Cross multiply
    928.04x = 1,392.26 × 278.78
  4. Step 4: Simplify right side
    928.04x = 388,125.89
  5. Step 5: Solve for x
    x = 388,125.89/928.04
  6. Step 6: Final answer
    x = 418.22

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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.