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Finding the Fourth Proportional to 347.12, 478.84 and 214.28

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Solution

The fourth proportional to 347.12, 478.84 and 214.28 is: 295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.12 : 478.84 = 214.28 : x
  2. Step 2: Convert to fraction form
    347.12/478.84 = 214.28/x
  3. Step 3: Cross multiply
    347.12x = 478.84 × 214.28
  4. Step 4: Simplify right side
    347.12x = 102,605.84
  5. Step 5: Solve for x
    x = 102,605.84/347.12
  6. Step 6: Final answer
    x = 295.59

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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.