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Finding the Fourth Proportional to 656.53, 905.91 and 376.72

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Solution

The fourth proportional to 656.53, 905.91 and 376.72 is: 519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.53 : 905.91 = 376.72 : x
  2. Step 2: Convert to fraction form
    656.53/905.91 = 376.72/x
  3. Step 3: Cross multiply
    656.53x = 905.91 × 376.72
  4. Step 4: Simplify right side
    656.53x = 341,274.42
  5. Step 5: Solve for x
    x = 341,274.42/656.53
  6. Step 6: Final answer
    x = 519.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.