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Finding the Fourth Proportional to 568.82, 784.94 and 320.13

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Solution

The fourth proportional to 568.82, 784.94 and 320.13 is: 441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.82 : 784.94 = 320.13 : x
  2. Step 2: Convert to fraction form
    568.82/784.94 = 320.13/x
  3. Step 3: Cross multiply
    568.82x = 784.94 × 320.13
  4. Step 4: Simplify right side
    568.82x = 251,282.84
  5. Step 5: Solve for x
    x = 251,282.84/568.82
  6. Step 6: Final answer
    x = 441.76

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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.