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Finding the Fourth Proportional to 566.15, 849.65 and 322.83

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Solution

The fourth proportional to 566.15, 849.65 and 322.83 is: 484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.15 : 849.65 = 322.83 : x
  2. Step 2: Convert to fraction form
    566.15/849.65 = 322.83/x
  3. Step 3: Cross multiply
    566.15x = 849.65 × 322.83
  4. Step 4: Simplify right side
    566.15x = 274,290.90
  5. Step 5: Solve for x
    x = 274,290.90/566.15
  6. Step 6: Final answer
    x = 484.49

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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.