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Finding the Fourth Proportional to 656.52, 906.24 and 394.56

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Solution

The fourth proportional to 656.52, 906.24 and 394.56 is: 544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.52 : 906.24 = 394.56 : x
  2. Step 2: Convert to fraction form
    656.52/906.24 = 394.56/x
  3. Step 3: Cross multiply
    656.52x = 906.24 × 394.56
  4. Step 4: Simplify right side
    656.52x = 357,566.05
  5. Step 5: Solve for x
    x = 357,566.05/656.52
  6. Step 6: Final answer
    x = 544.64

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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.