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Finding the Fourth Proportional to 364.26, 502.95 and 233.34

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Solution

The fourth proportional to 364.26, 502.95 and 233.34 is: 322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.26 : 502.95 = 233.34 : x
  2. Step 2: Convert to fraction form
    364.26/502.95 = 233.34/x
  3. Step 3: Cross multiply
    364.26x = 502.95 × 233.34
  4. Step 4: Simplify right side
    364.26x = 117,358.35
  5. Step 5: Solve for x
    x = 117,358.35/364.26
  6. Step 6: Final answer
    x = 322.18

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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.