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Finding the Fourth Proportional to 574.93, 861.93 and 204.53

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Solution

The fourth proportional to 574.93, 861.93 and 204.53 is: 306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.93 : 861.93 = 204.53 : x
  2. Step 2: Convert to fraction form
    574.93/861.93 = 204.53/x
  3. Step 3: Cross multiply
    574.93x = 861.93 × 204.53
  4. Step 4: Simplify right side
    574.93x = 176,285.21
  5. Step 5: Solve for x
    x = 176,285.21/574.93
  6. Step 6: Final answer
    x = 306.62

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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.