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Finding the Fourth Proportional to 928.28, 1,392.06 and 380.16

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Solution

The fourth proportional to 928.28, 1,392.06 and 380.16 is: 570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.28 : 1,392.06 = 380.16 : x
  2. Step 2: Convert to fraction form
    928.28/1,392.06 = 380.16/x
  3. Step 3: Cross multiply
    928.28x = 1,392.06 × 380.16
  4. Step 4: Simplify right side
    928.28x = 529,205.53
  5. Step 5: Solve for x
    x = 529,205.53/928.28
  6. Step 6: Final answer
    x = 570.09

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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.