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Finding the Fourth Proportional to 347.49, 479.65 and 214.76

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Solution

The fourth proportional to 347.49, 479.65 and 214.76 is: 296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.49 : 479.65 = 214.76 : x
  2. Step 2: Convert to fraction form
    347.49/479.65 = 214.76/x
  3. Step 3: Cross multiply
    347.49x = 479.65 × 214.76
  4. Step 4: Simplify right side
    347.49x = 103,006.72
  5. Step 5: Solve for x
    x = 103,006.72/347.49
  6. Step 6: Final answer
    x = 296.43

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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.