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Finding the Fourth Proportional to 343.74, 474.45 and 211.01

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Solution

The fourth proportional to 343.74, 474.45 and 211.01 is: 291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.74 : 474.45 = 211.01 : x
  2. Step 2: Convert to fraction form
    343.74/474.45 = 211.01/x
  3. Step 3: Cross multiply
    343.74x = 474.45 × 211.01
  4. Step 4: Simplify right side
    343.74x = 100,111.32
  5. Step 5: Solve for x
    x = 100,111.32/343.74
  6. Step 6: Final answer
    x = 291.24

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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.