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Finding the Fourth Proportional to 937.86, 1,406.71 and 321.54

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Solution

The fourth proportional to 937.86, 1,406.71 and 321.54 is: 482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.86 : 1,406.71 = 321.54 : x
  2. Step 2: Convert to fraction form
    937.86/1,406.71 = 321.54/x
  3. Step 3: Cross multiply
    937.86x = 1,406.71 × 321.54
  4. Step 4: Simplify right side
    937.86x = 452,313.53
  5. Step 5: Solve for x
    x = 452,313.53/937.86
  6. Step 6: Final answer
    x = 482.28

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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.