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Finding the Fourth Proportional to 656.98, 906.36 and 460.62

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Solution

The fourth proportional to 656.98, 906.36 and 460.62 is: 635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.98 : 906.36 = 460.62 : x
  2. Step 2: Convert to fraction form
    656.98/906.36 = 460.62/x
  3. Step 3: Cross multiply
    656.98x = 906.36 × 460.62
  4. Step 4: Simplify right side
    656.98x = 417,485.82
  5. Step 5: Solve for x
    x = 417,485.82/656.98
  6. Step 6: Final answer
    x = 635.46

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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.