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Finding the Fourth Proportional to 486.02, 729.76 and 280.99

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Solution

The fourth proportional to 486.02, 729.76 and 280.99 is: 421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.02 : 729.76 = 280.99 : x
  2. Step 2: Convert to fraction form
    486.02/729.76 = 280.99/x
  3. Step 3: Cross multiply
    486.02x = 729.76 × 280.99
  4. Step 4: Simplify right side
    486.02x = 205,055.26
  5. Step 5: Solve for x
    x = 205,055.26/486.02
  6. Step 6: Final answer
    x = 421.91

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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.