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Finding the Fourth Proportional to 340.86, 471.13 and 301.24

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Solution

The fourth proportional to 340.86, 471.13 and 301.24 is: 416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.86 : 471.13 = 301.24 : x
  2. Step 2: Convert to fraction form
    340.86/471.13 = 301.24/x
  3. Step 3: Cross multiply
    340.86x = 471.13 × 301.24
  4. Step 4: Simplify right side
    340.86x = 141,921.27
  5. Step 5: Solve for x
    x = 141,921.27/340.86
  6. Step 6: Final answer
    x = 416.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.