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Finding the Fourth Proportional to 927.30, 1,390.94 and 278.03

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Solution

The fourth proportional to 927.30, 1,390.94 and 278.03 is: 417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.30 : 1,390.94 = 278.03 : x
  2. Step 2: Convert to fraction form
    927.30/1,390.94 = 278.03/x
  3. Step 3: Cross multiply
    927.30x = 1,390.94 × 278.03
  4. Step 4: Simplify right side
    927.30x = 386,723.05
  5. Step 5: Solve for x
    x = 386,723.05/927.30
  6. Step 6: Final answer
    x = 417.04

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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.