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Finding the Fourth Proportional to 426.87, 587.12 and 347.63

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Solution

The fourth proportional to 426.87, 587.12 and 347.63 is: 478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.87 : 587.12 = 347.63 : x
  2. Step 2: Convert to fraction form
    426.87/587.12 = 347.63/x
  3. Step 3: Cross multiply
    426.87x = 587.12 × 347.63
  4. Step 4: Simplify right side
    426.87x = 204,095.85
  5. Step 5: Solve for x
    x = 204,095.85/426.87
  6. Step 6: Final answer
    x = 478.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.