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Finding the Fourth Proportional to 401.16, 600.96 and 246.63

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Solution

The fourth proportional to 401.16, 600.96 and 246.63 is: 369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.16 : 600.96 = 246.63 : x
  2. Step 2: Convert to fraction form
    401.16/600.96 = 246.63/x
  3. Step 3: Cross multiply
    401.16x = 600.96 × 246.63
  4. Step 4: Simplify right side
    401.16x = 148,214.76
  5. Step 5: Solve for x
    x = 148,214.76/401.16
  6. Step 6: Final answer
    x = 369.47

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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.