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Finding the Fourth Proportional to 485.94, 729.12 and 409.38

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Solution

The fourth proportional to 485.94, 729.12 and 409.38 is: 614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.94 : 729.12 = 409.38 : x
  2. Step 2: Convert to fraction form
    485.94/729.12 = 409.38/x
  3. Step 3: Cross multiply
    485.94x = 729.12 × 409.38
  4. Step 4: Simplify right side
    485.94x = 298,487.15
  5. Step 5: Solve for x
    x = 298,487.15/485.94
  6. Step 6: Final answer
    x = 614.25

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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.