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Finding the Fourth Proportional to 401.86, 600.21 and 340.20

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Solution

The fourth proportional to 401.86, 600.21 and 340.20 is: 508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.86 : 600.21 = 340.20 : x
  2. Step 2: Convert to fraction form
    401.86/600.21 = 340.20/x
  3. Step 3: Cross multiply
    401.86x = 600.21 × 340.20
  4. Step 4: Simplify right side
    401.86x = 204,191.44
  5. Step 5: Solve for x
    x = 204,191.44/401.86
  6. Step 6: Final answer
    x = 508.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.