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Finding the Fourth Proportional to 341.84, 472.02 and 231.32

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Solution

The fourth proportional to 341.84, 472.02 and 231.32 is: 319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.84 : 472.02 = 231.32 : x
  2. Step 2: Convert to fraction form
    341.84/472.02 = 231.32/x
  3. Step 3: Cross multiply
    341.84x = 472.02 × 231.32
  4. Step 4: Simplify right side
    341.84x = 109,187.67
  5. Step 5: Solve for x
    x = 109,187.67/341.84
  6. Step 6: Final answer
    x = 319.41

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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.