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Finding the Fourth Proportional to 347.68, 520.44 and 275.68

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Solution

The fourth proportional to 347.68, 520.44 and 275.68 is: 412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.68 : 520.44 = 275.68 : x
  2. Step 2: Convert to fraction form
    347.68/520.44 = 275.68/x
  3. Step 3: Cross multiply
    347.68x = 520.44 × 275.68
  4. Step 4: Simplify right side
    347.68x = 143,474.90
  5. Step 5: Solve for x
    x = 143,474.90/347.68
  6. Step 6: Final answer
    x = 412.66

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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.