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Finding the Fourth Proportional to 347.84, 480.04 and 237.56

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Solution

The fourth proportional to 347.84, 480.04 and 237.56 is: 327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.84 : 480.04 = 237.56 : x
  2. Step 2: Convert to fraction form
    347.84/480.04 = 237.56/x
  3. Step 3: Cross multiply
    347.84x = 480.04 × 237.56
  4. Step 4: Simplify right side
    347.84x = 114,038.30
  5. Step 5: Solve for x
    x = 114,038.30/347.84
  6. Step 6: Final answer
    x = 327.85

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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.