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Finding the Fourth Proportional to 585.28, 877.91 and 174.73

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Solution

The fourth proportional to 585.28, 877.91 and 174.73 is: 262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.28 : 877.91 = 174.73 : x
  2. Step 2: Convert to fraction form
    585.28/877.91 = 174.73/x
  3. Step 3: Cross multiply
    585.28x = 877.91 × 174.73
  4. Step 4: Simplify right side
    585.28x = 153,399.74
  5. Step 5: Solve for x
    x = 153,399.74/585.28
  6. Step 6: Final answer
    x = 262.10

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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.