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Finding the Fourth Proportional to 485.87, 729.14 and 266.48

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Solution

The fourth proportional to 485.87, 729.14 and 266.48 is: 399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.87 : 729.14 = 266.48 : x
  2. Step 2: Convert to fraction form
    485.87/729.14 = 266.48/x
  3. Step 3: Cross multiply
    485.87x = 729.14 × 266.48
  4. Step 4: Simplify right side
    485.87x = 194,299.89
  5. Step 5: Solve for x
    x = 194,299.89/485.87
  6. Step 6: Final answer
    x = 399.90

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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.