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Finding the Fourth Proportional to 486.06, 729.15 and 459.80

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Solution

The fourth proportional to 486.06, 729.15 and 459.80 is: 689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.06 : 729.15 = 459.80 : x
  2. Step 2: Convert to fraction form
    486.06/729.15 = 459.80/x
  3. Step 3: Cross multiply
    486.06x = 729.15 × 459.80
  4. Step 4: Simplify right side
    486.06x = 335,263.17
  5. Step 5: Solve for x
    x = 335,263.17/486.06
  6. Step 6: Final answer
    x = 689.76

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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.