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Finding the Fourth Proportional to 347.79, 522.63 and 327.90

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Solution

The fourth proportional to 347.79, 522.63 and 327.90 is: 492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.79 : 522.63 = 327.90 : x
  2. Step 2: Convert to fraction form
    347.79/522.63 = 327.90/x
  3. Step 3: Cross multiply
    347.79x = 522.63 × 327.90
  4. Step 4: Simplify right side
    347.79x = 171,370.38
  5. Step 5: Solve for x
    x = 171,370.38/347.79
  6. Step 6: Final answer
    x = 492.74

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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.