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Finding the Fourth Proportional to 364.19, 502.74 and 233.37

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Solution

The fourth proportional to 364.19, 502.74 and 233.37 is: 322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.19 : 502.74 = 233.37 : x
  2. Step 2: Convert to fraction form
    364.19/502.74 = 233.37/x
  3. Step 3: Cross multiply
    364.19x = 502.74 × 233.37
  4. Step 4: Simplify right side
    364.19x = 117,324.43
  5. Step 5: Solve for x
    x = 117,324.43/364.19
  6. Step 6: Final answer
    x = 322.16

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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.