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Finding the Fourth Proportional to 341.46, 511.50 and 211.39

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Solution

The fourth proportional to 341.46, 511.50 and 211.39 is: 316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.46 : 511.50 = 211.39 : x
  2. Step 2: Convert to fraction form
    341.46/511.50 = 211.39/x
  3. Step 3: Cross multiply
    341.46x = 511.50 × 211.39
  4. Step 4: Simplify right side
    341.46x = 108,125.99
  5. Step 5: Solve for x
    x = 108,125.99/341.46
  6. Step 6: Final answer
    x = 316.66

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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.