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Finding the Fourth Proportional to 585.96, 879.07 and 175.13

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Solution

The fourth proportional to 585.96, 879.07 and 175.13 is: 262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.96 : 879.07 = 175.13 : x
  2. Step 2: Convert to fraction form
    585.96/879.07 = 175.13/x
  3. Step 3: Cross multiply
    585.96x = 879.07 × 175.13
  4. Step 4: Simplify right side
    585.96x = 153,951.53
  5. Step 5: Solve for x
    x = 153,951.53/585.96
  6. Step 6: Final answer
    x = 262.73

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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.