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Finding the Fourth Proportional to 301.50, 415.71 and 246.12

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Solution

The fourth proportional to 301.50, 415.71 and 246.12 is: 339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 415.71 = 246.12 : x
  2. Step 2: Convert to fraction form
    301.50/415.71 = 246.12/x
  3. Step 3: Cross multiply
    301.50x = 415.71 × 246.12
  4. Step 4: Simplify right side
    301.50x = 102,314.55
  5. Step 5: Solve for x
    x = 102,314.55/301.50
  6. Step 6: Final answer
    x = 339.35

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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.