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Finding the Fourth Proportional to 656.18, 905.61 and 376.46

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Solution

The fourth proportional to 656.18, 905.61 and 376.46 is: 519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.18 : 905.61 = 376.46 : x
  2. Step 2: Convert to fraction form
    656.18/905.61 = 376.46/x
  3. Step 3: Cross multiply
    656.18x = 905.61 × 376.46
  4. Step 4: Simplify right side
    656.18x = 340,925.94
  5. Step 5: Solve for x
    x = 340,925.94/656.18
  6. Step 6: Final answer
    x = 519.56

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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.