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Finding the Fourth Proportional to 574.55, 861.14 and 300.16

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Solution

The fourth proportional to 574.55, 861.14 and 300.16 is: 449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.55 : 861.14 = 300.16 : x
  2. Step 2: Convert to fraction form
    574.55/861.14 = 300.16/x
  3. Step 3: Cross multiply
    574.55x = 861.14 × 300.16
  4. Step 4: Simplify right side
    574.55x = 258,475.48
  5. Step 5: Solve for x
    x = 258,475.48/574.55
  6. Step 6: Final answer
    x = 449.87

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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.