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Finding the Fourth Proportional to 927.27, 1,390.59 and 277.83

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Solution

The fourth proportional to 927.27, 1,390.59 and 277.83 is: 416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.27 : 1,390.59 = 277.83 : x
  2. Step 2: Convert to fraction form
    927.27/1,390.59 = 277.83/x
  3. Step 3: Cross multiply
    927.27x = 1,390.59 × 277.83
  4. Step 4: Simplify right side
    927.27x = 386,347.62
  5. Step 5: Solve for x
    x = 386,347.62/927.27
  6. Step 6: Final answer
    x = 416.65

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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.