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Finding the Fourth Proportional to 928.49, 1,392.57 and 312.21

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Solution

The fourth proportional to 928.49, 1,392.57 and 312.21 is: 468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.49 : 1,392.57 = 312.21 : x
  2. Step 2: Convert to fraction form
    928.49/1,392.57 = 312.21/x
  3. Step 3: Cross multiply
    928.49x = 1,392.57 × 312.21
  4. Step 4: Simplify right side
    928.49x = 434,774.28
  5. Step 5: Solve for x
    x = 434,774.28/928.49
  6. Step 6: Final answer
    x = 468.26

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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.