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Finding the Fourth Proportional to 314.43, 472.23 and 279.15

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Solution

The fourth proportional to 314.43, 472.23 and 279.15 is: 419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.43 : 472.23 = 279.15 : x
  2. Step 2: Convert to fraction form
    314.43/472.23 = 279.15/x
  3. Step 3: Cross multiply
    314.43x = 472.23 × 279.15
  4. Step 4: Simplify right side
    314.43x = 131,823.00
  5. Step 5: Solve for x
    x = 131,823.00/314.43
  6. Step 6: Final answer
    x = 419.24

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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.