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Finding the Fourth Proportional to 585.50, 878.09 and 174.53

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Solution

The fourth proportional to 585.50, 878.09 and 174.53 is: 261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.50 : 878.09 = 174.53 : x
  2. Step 2: Convert to fraction form
    585.50/878.09 = 174.53/x
  3. Step 3: Cross multiply
    585.50x = 878.09 × 174.53
  4. Step 4: Simplify right side
    585.50x = 153,254.37
  5. Step 5: Solve for x
    x = 153,254.37/585.50
  6. Step 6: Final answer
    x = 261.75

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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.