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Finding the Fourth Proportional to 574.69, 862.05 and 141.84

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Solution

The fourth proportional to 574.69, 862.05 and 141.84 is: 212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.69 : 862.05 = 141.84 : x
  2. Step 2: Convert to fraction form
    574.69/862.05 = 141.84/x
  3. Step 3: Cross multiply
    574.69x = 862.05 × 141.84
  4. Step 4: Simplify right side
    574.69x = 122,276.40
  5. Step 5: Solve for x
    x = 122,276.40/574.69
  6. Step 6: Final answer
    x = 212.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.