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Finding the Fourth Proportional to 342.58, 472.78 and 211.59

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Solution

The fourth proportional to 342.58, 472.78 and 211.59 is: 292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.58 : 472.78 = 211.59 : x
  2. Step 2: Convert to fraction form
    342.58/472.78 = 211.59/x
  3. Step 3: Cross multiply
    342.58x = 472.78 × 211.59
  4. Step 4: Simplify right side
    342.58x = 100,035.52
  5. Step 5: Solve for x
    x = 100,035.52/342.58
  6. Step 6: Final answer
    x = 292.01

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