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Finding the Fourth Proportional to 626.87, 865.05 and 347.10

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Solution

The fourth proportional to 626.87, 865.05 and 347.10 is: 478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.87 : 865.05 = 347.10 : x
  2. Step 2: Convert to fraction form
    626.87/865.05 = 347.10/x
  3. Step 3: Cross multiply
    626.87x = 865.05 × 347.10
  4. Step 4: Simplify right side
    626.87x = 300,258.86
  5. Step 5: Solve for x
    x = 300,258.86/626.87
  6. Step 6: Final answer
    x = 478.98

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Why These Related Problems?

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