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Finding the Fourth Proportional to 627.60, 866.04 and 347.84

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Solution

The fourth proportional to 627.60, 866.04 and 347.84 is: 479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.60 : 866.04 = 347.84 : x
  2. Step 2: Convert to fraction form
    627.60/866.04 = 347.84/x
  3. Step 3: Cross multiply
    627.60x = 866.04 × 347.84
  4. Step 4: Simplify right side
    627.60x = 301,243.35
  5. Step 5: Solve for x
    x = 301,243.35/627.60
  6. Step 6: Final answer
    x = 479.99

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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.