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Finding the Fourth Proportional to 568.71, 784.82 and 320.09

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Solution

The fourth proportional to 568.71, 784.82 and 320.09 is: 441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.71 : 784.82 = 320.09 : x
  2. Step 2: Convert to fraction form
    568.71/784.82 = 320.09/x
  3. Step 3: Cross multiply
    568.71x = 784.82 × 320.09
  4. Step 4: Simplify right side
    568.71x = 251,207.51
  5. Step 5: Solve for x
    x = 251,207.51/568.71
  6. Step 6: Final answer
    x = 441.71

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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.