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Finding the Fourth Proportional to 656.49, 905.61 and 394.44

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Solution

The fourth proportional to 656.49, 905.61 and 394.44 is: 544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.49 : 905.61 = 394.44 : x
  2. Step 2: Convert to fraction form
    656.49/905.61 = 394.44/x
  3. Step 3: Cross multiply
    656.49x = 905.61 × 394.44
  4. Step 4: Simplify right side
    656.49x = 357,208.81
  5. Step 5: Solve for x
    x = 357,208.81/656.49
  6. Step 6: Final answer
    x = 544.12

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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.