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Finding the Fourth Proportional to 316.66, 472.73 and 282.34

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Solution

The fourth proportional to 316.66, 472.73 and 282.34 is: 421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.66 : 472.73 = 282.34 : x
  2. Step 2: Convert to fraction form
    316.66/472.73 = 282.34/x
  3. Step 3: Cross multiply
    316.66x = 472.73 × 282.34
  4. Step 4: Simplify right side
    316.66x = 133,470.59
  5. Step 5: Solve for x
    x = 133,470.59/316.66
  6. Step 6: Final answer
    x = 421.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.