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Finding the Fourth Proportional to 499.39, 686.86 and 400.93

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Solution

The fourth proportional to 499.39, 686.86 and 400.93 is: 551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.39 : 686.86 = 400.93 : x
  2. Step 2: Convert to fraction form
    499.39/686.86 = 400.93/x
  3. Step 3: Cross multiply
    499.39x = 686.86 × 400.93
  4. Step 4: Simplify right side
    499.39x = 275,382.78
  5. Step 5: Solve for x
    x = 275,382.78/499.39
  6. Step 6: Final answer
    x = 551.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.