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Finding the Fourth Proportional to 656.64, 905.99 and 394.61

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Solution

The fourth proportional to 656.64, 905.99 and 394.61 is: 544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.64 : 905.99 = 394.61 : x
  2. Step 2: Convert to fraction form
    656.64/905.99 = 394.61/x
  3. Step 3: Cross multiply
    656.64x = 905.99 × 394.61
  4. Step 4: Simplify right side
    656.64x = 357,506.21
  5. Step 5: Solve for x
    x = 357,506.21/656.64
  6. Step 6: Final answer
    x = 544.45

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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.