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Finding the Fourth Proportional to 347.25, 520.07 and 274.89

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Solution

The fourth proportional to 347.25, 520.07 and 274.89 is: 411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.25 : 520.07 = 274.89 : x
  2. Step 2: Convert to fraction form
    347.25/520.07 = 274.89/x
  3. Step 3: Cross multiply
    347.25x = 520.07 × 274.89
  4. Step 4: Simplify right side
    347.25x = 142,960.67
  5. Step 5: Solve for x
    x = 142,960.67/347.25
  6. Step 6: Final answer
    x = 411.69

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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.