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Finding the Fourth Proportional to 566.78, 849.57 and 322.78

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Solution

The fourth proportional to 566.78, 849.57 and 322.78 is: 483.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.78 : 849.57 = 322.78 : x
  2. Step 2: Convert to fraction form
    566.78/849.57 = 322.78/x
  3. Step 3: Cross multiply
    566.78x = 849.57 × 322.78
  4. Step 4: Simplify right side
    566.78x = 274,222.99
  5. Step 5: Solve for x
    x = 274,222.99/566.78
  6. Step 6: Final answer
    x = 483.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.