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Finding the Fourth Proportional to 626.89, 865.10 and 347.12

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Solution

The fourth proportional to 626.89, 865.10 and 347.12 is: 479.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.89 : 865.10 = 347.12 : x
  2. Step 2: Convert to fraction form
    626.89/865.10 = 347.12/x
  3. Step 3: Cross multiply
    626.89x = 865.10 × 347.12
  4. Step 4: Simplify right side
    626.89x = 300,287.45
  5. Step 5: Solve for x
    x = 300,287.45/626.89
  6. Step 6: Final answer
    x = 479.01

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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.