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Finding the Fourth Proportional to 937.96, 1,407.01 and 279.79

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Solution

The fourth proportional to 937.96, 1,407.01 and 279.79 is: 419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.96 : 1,407.01 = 279.79 : x
  2. Step 2: Convert to fraction form
    937.96/1,407.01 = 279.79/x
  3. Step 3: Cross multiply
    937.96x = 1,407.01 × 279.79
  4. Step 4: Simplify right side
    937.96x = 393,662.44
  5. Step 5: Solve for x
    x = 393,662.44/937.96
  6. Step 6: Final answer
    x = 419.70

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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.