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Finding the Fourth Proportional to 685.34, 1,027.15 and 294.88

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Solution

The fourth proportional to 685.34, 1,027.15 and 294.88 is: 441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.34 : 1,027.15 = 294.88 : x
  2. Step 2: Convert to fraction form
    685.34/1,027.15 = 294.88/x
  3. Step 3: Cross multiply
    685.34x = 1,027.15 × 294.88
  4. Step 4: Simplify right side
    685.34x = 302,879.38
  5. Step 5: Solve for x
    x = 302,879.38/685.34
  6. Step 6: Final answer
    x = 441.94

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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.