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Finding the Fourth Proportional to 627.35, 865.74 and 347.59

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Solution

The fourth proportional to 627.35, 865.74 and 347.59 is: 479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.35 : 865.74 = 347.59 : x
  2. Step 2: Convert to fraction form
    627.35/865.74 = 347.59/x
  3. Step 3: Cross multiply
    627.35x = 865.74 × 347.59
  4. Step 4: Simplify right side
    627.35x = 300,920.40
  5. Step 5: Solve for x
    x = 300,920.40/627.35
  6. Step 6: Final answer
    x = 479.67

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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.