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Finding the Fourth Proportional to 486.70, 730.14 and 410.38

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Solution

The fourth proportional to 486.70, 730.14 and 410.38 is: 615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.70 : 730.14 = 410.38 : x
  2. Step 2: Convert to fraction form
    486.70/730.14 = 410.38/x
  3. Step 3: Cross multiply
    486.70x = 730.14 × 410.38
  4. Step 4: Simplify right side
    486.70x = 299,634.85
  5. Step 5: Solve for x
    x = 299,634.85/486.70
  6. Step 6: Final answer
    x = 615.65

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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.