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Finding the Fourth Proportional to 341.98, 471.70 and 211.05

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Solution

The fourth proportional to 341.98, 471.70 and 211.05 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.98 : 471.70 = 211.05 : x
  2. Step 2: Convert to fraction form
    341.98/471.70 = 211.05/x
  3. Step 3: Cross multiply
    341.98x = 471.70 × 211.05
  4. Step 4: Simplify right side
    341.98x = 99,551.23
  5. Step 5: Solve for x
    x = 99,551.23/341.98
  6. Step 6: Final answer
    x = 291.10

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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.