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Finding the Fourth Proportional to 364.71, 502.43 and 254.00

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Solution

The fourth proportional to 364.71, 502.43 and 254.00 is: 349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.71 : 502.43 = 254.00 : x
  2. Step 2: Convert to fraction form
    364.71/502.43 = 254.00/x
  3. Step 3: Cross multiply
    364.71x = 502.43 × 254.00
  4. Step 4: Simplify right side
    364.71x = 127,613.44
  5. Step 5: Solve for x
    x = 127,613.44/364.71
  6. Step 6: Final answer
    x = 349.90

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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.