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Finding the Fourth Proportional to 568.80, 784.89 and 320.13

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Solution

The fourth proportional to 568.80, 784.89 and 320.13 is: 441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.80 : 784.89 = 320.13 : x
  2. Step 2: Convert to fraction form
    568.80/784.89 = 320.13/x
  3. Step 3: Cross multiply
    568.80x = 784.89 × 320.13
  4. Step 4: Simplify right side
    568.80x = 251,266.84
  5. Step 5: Solve for x
    x = 251,266.84/568.80
  6. Step 6: Final answer
    x = 441.75

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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.