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Finding the Fourth Proportional to 496.16, 743.68 and 400.04

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Solution

The fourth proportional to 496.16, 743.68 and 400.04 is: 599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.16 : 743.68 = 400.04 : x
  2. Step 2: Convert to fraction form
    496.16/743.68 = 400.04/x
  3. Step 3: Cross multiply
    496.16x = 743.68 × 400.04
  4. Step 4: Simplify right side
    496.16x = 297,501.75
  5. Step 5: Solve for x
    x = 297,501.75/496.16
  6. Step 6: Final answer
    x = 599.61

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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.