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Finding the Fourth Proportional to 364.59, 502.54 and 277.11

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Solution

The fourth proportional to 364.59, 502.54 and 277.11 is: 381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.59 : 502.54 = 277.11 : x
  2. Step 2: Convert to fraction form
    364.59/502.54 = 277.11/x
  3. Step 3: Cross multiply
    364.59x = 502.54 × 277.11
  4. Step 4: Simplify right side
    364.59x = 139,258.86
  5. Step 5: Solve for x
    x = 139,258.86/364.59
  6. Step 6: Final answer
    x = 381.96

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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.