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Finding the Fourth Proportional to 927.16, 1,390.74 and 233.83

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Solution

The fourth proportional to 927.16, 1,390.74 and 233.83 is: 350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.16 : 1,390.74 = 233.83 : x
  2. Step 2: Convert to fraction form
    927.16/1,390.74 = 233.83/x
  3. Step 3: Cross multiply
    927.16x = 1,390.74 × 233.83
  4. Step 4: Simplify right side
    927.16x = 325,188.61
  5. Step 5: Solve for x
    x = 325,188.61/927.16
  6. Step 6: Final answer
    x = 350.74

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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.