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Finding the Fourth Proportional to 626.83, 865.00 and 346.96

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Solution

The fourth proportional to 626.83, 865.00 and 346.96 is: 478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.83 : 865.00 = 346.96 : x
  2. Step 2: Convert to fraction form
    626.83/865.00 = 346.96/x
  3. Step 3: Cross multiply
    626.83x = 865.00 × 346.96
  4. Step 4: Simplify right side
    626.83x = 300,120.46
  5. Step 5: Solve for x
    x = 300,120.46/626.83
  6. Step 6: Final answer
    x = 478.79

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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.