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Finding the Fourth Proportional to 312.91, 469.41 and 96.46

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Solution

The fourth proportional to 312.91, 469.41 and 96.46 is: 144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.91 : 469.41 = 96.46 : x
  2. Step 2: Convert to fraction form
    312.91/469.41 = 96.46/x
  3. Step 3: Cross multiply
    312.91x = 469.41 × 96.46
  4. Step 4: Simplify right side
    312.91x = 45,279.29
  5. Step 5: Solve for x
    x = 45,279.29/312.91
  6. Step 6: Final answer
    x = 144.70

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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.