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Finding the Fourth Proportional to 590.63, 885.94 and 179.75

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Solution

The fourth proportional to 590.63, 885.94 and 179.75 is: 269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.63 : 885.94 = 179.75 : x
  2. Step 2: Convert to fraction form
    590.63/885.94 = 179.75/x
  3. Step 3: Cross multiply
    590.63x = 885.94 × 179.75
  4. Step 4: Simplify right side
    590.63x = 159,249.48
  5. Step 5: Solve for x
    x = 159,249.48/590.63
  6. Step 6: Final answer
    x = 269.63

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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.