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Finding the Fourth Proportional to 353.55, 487.92 and 266.07

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Solution

The fourth proportional to 353.55, 487.92 and 266.07 is: 367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.55 : 487.92 = 266.07 : x
  2. Step 2: Convert to fraction form
    353.55/487.92 = 266.07/x
  3. Step 3: Cross multiply
    353.55x = 487.92 × 266.07
  4. Step 4: Simplify right side
    353.55x = 129,820.87
  5. Step 5: Solve for x
    x = 129,820.87/353.55
  6. Step 6: Final answer
    x = 367.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.