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Finding the Fourth Proportional to 423.69, 635.57 and 400.61

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Solution

The fourth proportional to 423.69, 635.57 and 400.61 is: 600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.69 : 635.57 = 400.61 : x
  2. Step 2: Convert to fraction form
    423.69/635.57 = 400.61/x
  3. Step 3: Cross multiply
    423.69x = 635.57 × 400.61
  4. Step 4: Simplify right side
    423.69x = 254,610.52
  5. Step 5: Solve for x
    x = 254,610.52/423.69
  6. Step 6: Final answer
    x = 600.94

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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.