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Finding the Fourth Proportional to 656.60, 905.34 and 394.52

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Solution

The fourth proportional to 656.60, 905.34 and 394.52 is: 543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.60 : 905.34 = 394.52 : x
  2. Step 2: Convert to fraction form
    656.60/905.34 = 394.52/x
  3. Step 3: Cross multiply
    656.60x = 905.34 × 394.52
  4. Step 4: Simplify right side
    656.60x = 357,174.74
  5. Step 5: Solve for x
    x = 357,174.74/656.60
  6. Step 6: Final answer
    x = 543.98

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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.