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Finding the Fourth Proportional to 364.52, 503.04 and 224.72

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Solution

The fourth proportional to 364.52, 503.04 and 224.72 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.52 : 503.04 = 224.72 : x
  2. Step 2: Convert to fraction form
    364.52/503.04 = 224.72/x
  3. Step 3: Cross multiply
    364.52x = 503.04 × 224.72
  4. Step 4: Simplify right side
    364.52x = 113,041.48
  5. Step 5: Solve for x
    x = 113,041.48/364.52
  6. Step 6: Final answer
    x = 310.11

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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.