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Finding the Fourth Proportional to 656.31, 905.70 and 376.55

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Solution

The fourth proportional to 656.31, 905.70 and 376.55 is: 519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.31 : 905.70 = 376.55 : x
  2. Step 2: Convert to fraction form
    656.31/905.70 = 376.55/x
  3. Step 3: Cross multiply
    656.31x = 905.70 × 376.55
  4. Step 4: Simplify right side
    656.31x = 341,036.81
  5. Step 5: Solve for x
    x = 341,036.81/656.31
  6. Step 6: Final answer
    x = 519.63

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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.