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Finding the Fourth Proportional to 486.64, 729.76 and 409.24

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Solution

The fourth proportional to 486.64, 729.76 and 409.24 is: 613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.64 : 729.76 = 409.24 : x
  2. Step 2: Convert to fraction form
    486.64/729.76 = 409.24/x
  3. Step 3: Cross multiply
    486.64x = 729.76 × 409.24
  4. Step 4: Simplify right side
    486.64x = 298,646.98
  5. Step 5: Solve for x
    x = 298,646.98/486.64
  6. Step 6: Final answer
    x = 613.69

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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.