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Finding the Fourth Proportional to 656.22, 905.58 and 376.45

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Solution

The fourth proportional to 656.22, 905.58 and 376.45 is: 519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.22 : 905.58 = 376.45 : x
  2. Step 2: Convert to fraction form
    656.22/905.58 = 376.45/x
  3. Step 3: Cross multiply
    656.22x = 905.58 × 376.45
  4. Step 4: Simplify right side
    656.22x = 340,899.18
  5. Step 5: Solve for x
    x = 340,899.18/656.22
  6. Step 6: Final answer
    x = 519.49

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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.