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Finding the Fourth Proportional to 316.43, 436.47 and 233.75

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Solution

The fourth proportional to 316.43, 436.47 and 233.75 is: 322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.43 : 436.47 = 233.75 : x
  2. Step 2: Convert to fraction form
    316.43/436.47 = 233.75/x
  3. Step 3: Cross multiply
    316.43x = 436.47 × 233.75
  4. Step 4: Simplify right side
    316.43x = 102,024.86
  5. Step 5: Solve for x
    x = 102,024.86/316.43
  6. Step 6: Final answer
    x = 322.42

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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.