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Finding the Fourth Proportional to 568.40, 784.22 and 347.12

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Solution

The fourth proportional to 568.40, 784.22 and 347.12 is: 478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.40 : 784.22 = 347.12 : x
  2. Step 2: Convert to fraction form
    568.40/784.22 = 347.12/x
  3. Step 3: Cross multiply
    568.40x = 784.22 × 347.12
  4. Step 4: Simplify right side
    568.40x = 272,215.73
  5. Step 5: Solve for x
    x = 272,215.73/568.40
  6. Step 6: Final answer
    x = 478.92

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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.