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Finding the Fourth Proportional to 316.98, 472.92 and 283.94

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Solution

The fourth proportional to 316.98, 472.92 and 283.94 is: 423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.98 : 472.92 = 283.94 : x
  2. Step 2: Convert to fraction form
    316.98/472.92 = 283.94/x
  3. Step 3: Cross multiply
    316.98x = 472.92 × 283.94
  4. Step 4: Simplify right side
    316.98x = 134,279.25
  5. Step 5: Solve for x
    x = 134,279.25/316.98
  6. Step 6: Final answer
    x = 423.62

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