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Finding the Fourth Proportional to 342.59, 472.57 and 211.50

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Solution

The fourth proportional to 342.59, 472.57 and 211.50 is: 291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.59 : 472.57 = 211.50 : x
  2. Step 2: Convert to fraction form
    342.59/472.57 = 211.50/x
  3. Step 3: Cross multiply
    342.59x = 472.57 × 211.50
  4. Step 4: Simplify right side
    342.59x = 99,948.03
  5. Step 5: Solve for x
    x = 99,948.03/342.59
  6. Step 6: Final answer
    x = 291.75

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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.