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Finding the Fourth Proportional to 931.29, 1,396.89 and 282

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Solution

The fourth proportional to 931.29, 1,396.89 and 282 is: 422.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.29 : 1,396.89 = 282 : x
  2. Step 2: Convert to fraction form
    931.29/1,396.89 = 282/x
  3. Step 3: Cross multiply
    931.29x = 1,396.89 × 282
  4. Step 4: Simplify right side
    931.29x = 393,922.98
  5. Step 5: Solve for x
    x = 393,922.98/931.29
  6. Step 6: Final answer
    x = 422.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.