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Finding the Fourth Proportional to 364, 502.56 and 226.24

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Solution

The fourth proportional to 364, 502.56 and 226.24 is: 312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364 : 502.56 = 226.24 : x
  2. Step 2: Convert to fraction form
    364/502.56 = 226.24/x
  3. Step 3: Cross multiply
    364x = 502.56 × 226.24
  4. Step 4: Simplify right side
    364x = 113,699.17
  5. Step 5: Solve for x
    x = 113,699.17/364
  6. Step 6: Final answer
    x = 312.36

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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.