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Finding the Fourth Proportional to 568.72, 784.84 and 320.02

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Solution

The fourth proportional to 568.72, 784.84 and 320.02 is: 441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.72 : 784.84 = 320.02 : x
  2. Step 2: Convert to fraction form
    568.72/784.84 = 320.02/x
  3. Step 3: Cross multiply
    568.72x = 784.84 × 320.02
  4. Step 4: Simplify right side
    568.72x = 251,164.50
  5. Step 5: Solve for x
    x = 251,164.50/568.72
  6. Step 6: Final answer
    x = 441.63

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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.