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Finding the Fourth Proportional to 364.68, 503.12 and 224.69

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Solution

The fourth proportional to 364.68, 503.12 and 224.69 is: 309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.68 : 503.12 = 224.69 : x
  2. Step 2: Convert to fraction form
    364.68/503.12 = 224.69/x
  3. Step 3: Cross multiply
    364.68x = 503.12 × 224.69
  4. Step 4: Simplify right side
    364.68x = 113,042.39
  5. Step 5: Solve for x
    x = 113,042.39/364.68
  6. Step 6: Final answer
    x = 309.98

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