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Finding the Fourth Proportional to 928.72, 1,392.03 and 380.20

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Solution

The fourth proportional to 928.72, 1,392.03 and 380.20 is: 569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.72 : 1,392.03 = 380.20 : x
  2. Step 2: Convert to fraction form
    928.72/1,392.03 = 380.20/x
  3. Step 3: Cross multiply
    928.72x = 1,392.03 × 380.20
  4. Step 4: Simplify right side
    928.72x = 529,249.81
  5. Step 5: Solve for x
    x = 529,249.81/928.72
  6. Step 6: Final answer
    x = 569.87

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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.