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Finding the Fourth Proportional to 347.27, 520.61 and 193.24

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Solution

The fourth proportional to 347.27, 520.61 and 193.24 is: 289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.27 : 520.61 = 193.24 : x
  2. Step 2: Convert to fraction form
    347.27/520.61 = 193.24/x
  3. Step 3: Cross multiply
    347.27x = 520.61 × 193.24
  4. Step 4: Simplify right side
    347.27x = 100,603.41
  5. Step 5: Solve for x
    x = 100,603.41/347.27
  6. Step 6: Final answer
    x = 289.70

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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.