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Finding the Fourth Proportional to 656.08, 905.34 and 393.94

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Solution

The fourth proportional to 656.08, 905.34 and 393.94 is: 543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.08 : 905.34 = 393.94 : x
  2. Step 2: Convert to fraction form
    656.08/905.34 = 393.94/x
  3. Step 3: Cross multiply
    656.08x = 905.34 × 393.94
  4. Step 4: Simplify right side
    656.08x = 356,649.64
  5. Step 5: Solve for x
    x = 356,649.64/656.08
  6. Step 6: Final answer
    x = 543.61

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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.