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Finding the Fourth Proportional to 364.52, 502.90 and 233.56

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Solution

The fourth proportional to 364.52, 502.90 and 233.56 is: 322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.52 : 502.90 = 233.56 : x
  2. Step 2: Convert to fraction form
    364.52/502.90 = 233.56/x
  3. Step 3: Cross multiply
    364.52x = 502.90 × 233.56
  4. Step 4: Simplify right side
    364.52x = 117,457.32
  5. Step 5: Solve for x
    x = 117,457.32/364.52
  6. Step 6: Final answer
    x = 322.22

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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.