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Finding the Fourth Proportional to 369.68, 506.85 and 363.10

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Solution

The fourth proportional to 369.68, 506.85 and 363.10 is: 497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.68 : 506.85 = 363.10 : x
  2. Step 2: Convert to fraction form
    369.68/506.85 = 363.10/x
  3. Step 3: Cross multiply
    369.68x = 506.85 × 363.10
  4. Step 4: Simplify right side
    369.68x = 184,037.33
  5. Step 5: Solve for x
    x = 184,037.33/369.68
  6. Step 6: Final answer
    x = 497.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.