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Finding the Fourth Proportional to 944.86, 1,417.89 and 367.78

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Solution

The fourth proportional to 944.86, 1,417.89 and 367.78 is: 551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.86 : 1,417.89 = 367.78 : x
  2. Step 2: Convert to fraction form
    944.86/1,417.89 = 367.78/x
  3. Step 3: Cross multiply
    944.86x = 1,417.89 × 367.78
  4. Step 4: Simplify right side
    944.86x = 521,471.58
  5. Step 5: Solve for x
    x = 521,471.58/944.86
  6. Step 6: Final answer
    x = 551.90

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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.