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Finding the Fourth Proportional to 410.69, 616.03 and 400.36

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Solution

The fourth proportional to 410.69, 616.03 and 400.36 is: 600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.69 : 616.03 = 400.36 : x
  2. Step 2: Convert to fraction form
    410.69/616.03 = 400.36/x
  3. Step 3: Cross multiply
    410.69x = 616.03 × 400.36
  4. Step 4: Simplify right side
    410.69x = 246,633.77
  5. Step 5: Solve for x
    x = 246,633.77/410.69
  6. Step 6: Final answer
    x = 600.54

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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.