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Finding the Fourth Proportional to 342.49, 472.06 and 231.77

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Solution

The fourth proportional to 342.49, 472.06 and 231.77 is: 319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.49 : 472.06 = 231.77 : x
  2. Step 2: Convert to fraction form
    342.49/472.06 = 231.77/x
  3. Step 3: Cross multiply
    342.49x = 472.06 × 231.77
  4. Step 4: Simplify right side
    342.49x = 109,409.35
  5. Step 5: Solve for x
    x = 109,409.35/342.49
  6. Step 6: Final answer
    x = 319.45

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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.