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Finding the Fourth Proportional to 391.02, 586.67 and 174.45

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Solution

The fourth proportional to 391.02, 586.67 and 174.45 is: 261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.02 : 586.67 = 174.45 : x
  2. Step 2: Convert to fraction form
    391.02/586.67 = 174.45/x
  3. Step 3: Cross multiply
    391.02x = 586.67 × 174.45
  4. Step 4: Simplify right side
    391.02x = 102,344.58
  5. Step 5: Solve for x
    x = 102,344.58/391.02
  6. Step 6: Final answer
    x = 261.74

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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.