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Finding the Fourth Proportional to 656.23, 905.67 and 376.52

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Solution

The fourth proportional to 656.23, 905.67 and 376.52 is: 519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.23 : 905.67 = 376.52 : x
  2. Step 2: Convert to fraction form
    656.23/905.67 = 376.52/x
  3. Step 3: Cross multiply
    656.23x = 905.67 × 376.52
  4. Step 4: Simplify right side
    656.23x = 341,002.87
  5. Step 5: Solve for x
    x = 341,002.87/656.23
  6. Step 6: Final answer
    x = 519.64

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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.