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Finding the Fourth Proportional to 364.17, 502.63 and 224.40

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Solution

The fourth proportional to 364.17, 502.63 and 224.40 is: 309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.17 : 502.63 = 224.40 : x
  2. Step 2: Convert to fraction form
    364.17/502.63 = 224.40/x
  3. Step 3: Cross multiply
    364.17x = 502.63 × 224.40
  4. Step 4: Simplify right side
    364.17x = 112,790.17
  5. Step 5: Solve for x
    x = 112,790.17/364.17
  6. Step 6: Final answer
    x = 309.72

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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.