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Finding the Fourth Proportional to 347.49, 478.70 and 277.49

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Solution

The fourth proportional to 347.49, 478.70 and 277.49 is: 382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.49 : 478.70 = 277.49 : x
  2. Step 2: Convert to fraction form
    347.49/478.70 = 277.49/x
  3. Step 3: Cross multiply
    347.49x = 478.70 × 277.49
  4. Step 4: Simplify right side
    347.49x = 132,834.46
  5. Step 5: Solve for x
    x = 132,834.46/347.49
  6. Step 6: Final answer
    x = 382.27

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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.