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Finding the Fourth Proportional to 431.67, 647.81 and 294.85

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Solution

The fourth proportional to 431.67, 647.81 and 294.85 is: 442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.67 : 647.81 = 294.85 : x
  2. Step 2: Convert to fraction form
    431.67/647.81 = 294.85/x
  3. Step 3: Cross multiply
    431.67x = 647.81 × 294.85
  4. Step 4: Simplify right side
    431.67x = 191,005.90
  5. Step 5: Solve for x
    x = 191,005.90/431.67
  6. Step 6: Final answer
    x = 442.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.