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Finding the Fourth Proportional to 484.31, 725.09 and 411.10

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Solution

The fourth proportional to 484.31, 725.09 and 411.10 is: 615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.31 : 725.09 = 411.10 : x
  2. Step 2: Convert to fraction form
    484.31/725.09 = 411.10/x
  3. Step 3: Cross multiply
    484.31x = 725.09 × 411.10
  4. Step 4: Simplify right side
    484.31x = 298,080.63
  5. Step 5: Solve for x
    x = 298,080.63/484.31
  6. Step 6: Final answer
    x = 615.47

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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.