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Finding the Fourth Proportional to 364.72, 502.78 and 277.24

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Solution

The fourth proportional to 364.72, 502.78 and 277.24 is: 382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.72 : 502.78 = 277.24 : x
  2. Step 2: Convert to fraction form
    364.72/502.78 = 277.24/x
  3. Step 3: Cross multiply
    364.72x = 502.78 × 277.24
  4. Step 4: Simplify right side
    364.72x = 139,390.73
  5. Step 5: Solve for x
    x = 139,390.73/364.72
  6. Step 6: Final answer
    x = 382.19

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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.