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Finding the Fourth Proportional to 627.46, 940.21 and 562.11

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Solution

The fourth proportional to 627.46, 940.21 and 562.11 is: 842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.46 : 940.21 = 562.11 : x
  2. Step 2: Convert to fraction form
    627.46/940.21 = 562.11/x
  3. Step 3: Cross multiply
    627.46x = 940.21 × 562.11
  4. Step 4: Simplify right side
    627.46x = 528,496.51
  5. Step 5: Solve for x
    x = 528,496.51/627.46
  6. Step 6: Final answer
    x = 842.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.