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Finding the Fourth Proportional to 312.57, 468.41 and 294.39

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Solution

The fourth proportional to 312.57, 468.41 and 294.39 is: 441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.57 : 468.41 = 294.39 : x
  2. Step 2: Convert to fraction form
    312.57/468.41 = 294.39/x
  3. Step 3: Cross multiply
    312.57x = 468.41 × 294.39
  4. Step 4: Simplify right side
    312.57x = 137,893.75
  5. Step 5: Solve for x
    x = 137,893.75/312.57
  6. Step 6: Final answer
    x = 441.16

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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.