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Finding the Fourth Proportional to 656.58, 905.12 and 459.48

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Solution

The fourth proportional to 656.58, 905.12 and 459.48 is: 633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.58 : 905.12 = 459.48 : x
  2. Step 2: Convert to fraction form
    656.58/905.12 = 459.48/x
  3. Step 3: Cross multiply
    656.58x = 905.12 × 459.48
  4. Step 4: Simplify right side
    656.58x = 415,884.54
  5. Step 5: Solve for x
    x = 415,884.54/656.58
  6. Step 6: Final answer
    x = 633.41

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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.