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Finding the Fourth Proportional to 585.93, 878.86 and 175.07

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Solution

The fourth proportional to 585.93, 878.86 and 175.07 is: 262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.93 : 878.86 = 175.07 : x
  2. Step 2: Convert to fraction form
    585.93/878.86 = 175.07/x
  3. Step 3: Cross multiply
    585.93x = 878.86 × 175.07
  4. Step 4: Simplify right side
    585.93x = 153,862.02
  5. Step 5: Solve for x
    x = 153,862.02/585.93
  6. Step 6: Final answer
    x = 262.59

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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.