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Finding the Fourth Proportional to 347.27, 520.25 and 260.16

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Solution

The fourth proportional to 347.27, 520.25 and 260.16 is: 389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.27 : 520.25 = 260.16 : x
  2. Step 2: Convert to fraction form
    347.27/520.25 = 260.16/x
  3. Step 3: Cross multiply
    347.27x = 520.25 × 260.16
  4. Step 4: Simplify right side
    347.27x = 135,346.94
  5. Step 5: Solve for x
    x = 135,346.94/347.27
  6. Step 6: Final answer
    x = 389.75

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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.