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Finding the Fourth Proportional to 364.10, 502.64 and 276.62

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Solution

The fourth proportional to 364.10, 502.64 and 276.62 is: 381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.10 : 502.64 = 276.62 : x
  2. Step 2: Convert to fraction form
    364.10/502.64 = 276.62/x
  3. Step 3: Cross multiply
    364.10x = 502.64 × 276.62
  4. Step 4: Simplify right side
    364.10x = 139,037.42
  5. Step 5: Solve for x
    x = 139,037.42/364.10
  6. Step 6: Final answer
    x = 381.87

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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.