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Finding the Fourth Proportional to 574.85, 862.02 and 228.12

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Solution

The fourth proportional to 574.85, 862.02 and 228.12 is: 342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.85 : 862.02 = 228.12 : x
  2. Step 2: Convert to fraction form
    574.85/862.02 = 228.12/x
  3. Step 3: Cross multiply
    574.85x = 862.02 × 228.12
  4. Step 4: Simplify right side
    574.85x = 196,644.00
  5. Step 5: Solve for x
    x = 196,644.00/574.85
  6. Step 6: Final answer
    x = 342.08

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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.