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Finding the Fourth Proportional to 566.80, 849.08 and 322.96

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Solution

The fourth proportional to 566.80, 849.08 and 322.96 is: 483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.80 : 849.08 = 322.96 : x
  2. Step 2: Convert to fraction form
    566.80/849.08 = 322.96/x
  3. Step 3: Cross multiply
    566.80x = 849.08 × 322.96
  4. Step 4: Simplify right side
    566.80x = 274,218.88
  5. Step 5: Solve for x
    x = 274,218.88/566.80
  6. Step 6: Final answer
    x = 483.80

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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.