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Finding the Fourth Proportional to 928.24, 1,392.54 and 312.14

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Solution

The fourth proportional to 928.24, 1,392.54 and 312.14 is: 468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.24 : 1,392.54 = 312.14 : x
  2. Step 2: Convert to fraction form
    928.24/1,392.54 = 312.14/x
  3. Step 3: Cross multiply
    928.24x = 1,392.54 × 312.14
  4. Step 4: Simplify right side
    928.24x = 434,667.44
  5. Step 5: Solve for x
    x = 434,667.44/928.24
  6. Step 6: Final answer
    x = 468.27

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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.