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Finding the Fourth Proportional to 364.57, 502.81 and 309.49

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Solution

The fourth proportional to 364.57, 502.81 and 309.49 is: 426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.57 : 502.81 = 309.49 : x
  2. Step 2: Convert to fraction form
    364.57/502.81 = 309.49/x
  3. Step 3: Cross multiply
    364.57x = 502.81 × 309.49
  4. Step 4: Simplify right side
    364.57x = 155,614.67
  5. Step 5: Solve for x
    x = 155,614.67/364.57
  6. Step 6: Final answer
    x = 426.84

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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.