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Finding the Fourth Proportional to 656.24, 906.19 and 490.16

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Solution

The fourth proportional to 656.24, 906.19 and 490.16 is: 676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.24 : 906.19 = 490.16 : x
  2. Step 2: Convert to fraction form
    656.24/906.19 = 490.16/x
  3. Step 3: Cross multiply
    656.24x = 906.19 × 490.16
  4. Step 4: Simplify right side
    656.24x = 444,179.13
  5. Step 5: Solve for x
    x = 444,179.13/656.24
  6. Step 6: Final answer
    x = 676.86

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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.