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Finding the Fourth Proportional to 568.22, 784.25 and 369.29

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Solution

The fourth proportional to 568.22, 784.25 and 369.29 is: 509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.22 : 784.25 = 369.29 : x
  2. Step 2: Convert to fraction form
    568.22/784.25 = 369.29/x
  3. Step 3: Cross multiply
    568.22x = 784.25 × 369.29
  4. Step 4: Simplify right side
    568.22x = 289,617.18
  5. Step 5: Solve for x
    x = 289,617.18/568.22
  6. Step 6: Final answer
    x = 509.70

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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.