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Finding the Fourth Proportional to 928.47, 1,393.08 and 408.21

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Solution

The fourth proportional to 928.47, 1,393.08 and 408.21 is: 612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.47 : 1,393.08 = 408.21 : x
  2. Step 2: Convert to fraction form
    928.47/1,393.08 = 408.21/x
  3. Step 3: Cross multiply
    928.47x = 1,393.08 × 408.21
  4. Step 4: Simplify right side
    928.47x = 568,669.19
  5. Step 5: Solve for x
    x = 568,669.19/928.47
  6. Step 6: Final answer
    x = 612.48

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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.