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Finding the Fourth Proportional to 595.44, 891.22 and 538.61

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Solution

The fourth proportional to 595.44, 891.22 and 538.61 is: 806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.44 : 891.22 = 538.61 : x
  2. Step 2: Convert to fraction form
    595.44/891.22 = 538.61/x
  3. Step 3: Cross multiply
    595.44x = 891.22 × 538.61
  4. Step 4: Simplify right side
    595.44x = 480,012.86
  5. Step 5: Solve for x
    x = 480,012.86/595.44
  6. Step 6: Final answer
    x = 806.15

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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.