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Finding the Fourth Proportional to 928.16, 1,392.45 and 380.27

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Solution

The fourth proportional to 928.16, 1,392.45 and 380.27 is: 570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.16 : 1,392.45 = 380.27 : x
  2. Step 2: Convert to fraction form
    928.16/1,392.45 = 380.27/x
  3. Step 3: Cross multiply
    928.16x = 1,392.45 × 380.27
  4. Step 4: Simplify right side
    928.16x = 529,506.96
  5. Step 5: Solve for x
    x = 529,506.96/928.16
  6. Step 6: Final answer
    x = 570.49

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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.