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Finding the Fourth Proportional to 585.37, 877.90 and 174.41

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Solution

The fourth proportional to 585.37, 877.90 and 174.41 is: 261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.37 : 877.90 = 174.41 : x
  2. Step 2: Convert to fraction form
    585.37/877.90 = 174.41/x
  3. Step 3: Cross multiply
    585.37x = 877.90 × 174.41
  4. Step 4: Simplify right side
    585.37x = 153,114.54
  5. Step 5: Solve for x
    x = 153,114.54/585.37
  6. Step 6: Final answer
    x = 261.57

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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.