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Finding the Fourth Proportional to 620.56, 930.84 and 437.86

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Solution

The fourth proportional to 620.56, 930.84 and 437.86 is: 656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.56 : 930.84 = 437.86 : x
  2. Step 2: Convert to fraction form
    620.56/930.84 = 437.86/x
  3. Step 3: Cross multiply
    620.56x = 930.84 × 437.86
  4. Step 4: Simplify right side
    620.56x = 407,577.60
  5. Step 5: Solve for x
    x = 407,577.60/620.56
  6. Step 6: Final answer
    x = 656.79

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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.