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Finding the Fourth Proportional to 568.62, 784.67 and 319.95

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Solution

The fourth proportional to 568.62, 784.67 and 319.95 is: 441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.62 : 784.67 = 319.95 : x
  2. Step 2: Convert to fraction form
    568.62/784.67 = 319.95/x
  3. Step 3: Cross multiply
    568.62x = 784.67 × 319.95
  4. Step 4: Simplify right side
    568.62x = 251,053.57
  5. Step 5: Solve for x
    x = 251,053.57/568.62
  6. Step 6: Final answer
    x = 441.51

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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.