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Finding the Fourth Proportional to 595.26, 892.62 and 229.77

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Solution

The fourth proportional to 595.26, 892.62 and 229.77 is: 344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.26 : 892.62 = 229.77 : x
  2. Step 2: Convert to fraction form
    595.26/892.62 = 229.77/x
  3. Step 3: Cross multiply
    595.26x = 892.62 × 229.77
  4. Step 4: Simplify right side
    595.26x = 205,097.30
  5. Step 5: Solve for x
    x = 205,097.30/595.26
  6. Step 6: Final answer
    x = 344.55

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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.