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Finding the Fourth Proportional to 314.44, 472.24 and 279.16

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Solution

The fourth proportional to 314.44, 472.24 and 279.16 is: 419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.44 : 472.24 = 279.16 : x
  2. Step 2: Convert to fraction form
    314.44/472.24 = 279.16/x
  3. Step 3: Cross multiply
    314.44x = 472.24 × 279.16
  4. Step 4: Simplify right side
    314.44x = 131,830.52
  5. Step 5: Solve for x
    x = 131,830.52/314.44
  6. Step 6: Final answer
    x = 419.25

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