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Finding the Fourth Proportional to 568.78, 784.72 and 320.06

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Solution

The fourth proportional to 568.78, 784.72 and 320.06 is: 441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.78 : 784.72 = 320.06 : x
  2. Step 2: Convert to fraction form
    568.78/784.72 = 320.06/x
  3. Step 3: Cross multiply
    568.78x = 784.72 × 320.06
  4. Step 4: Simplify right side
    568.78x = 251,157.48
  5. Step 5: Solve for x
    x = 251,157.48/568.78
  6. Step 6: Final answer
    x = 441.57

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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.