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Finding the Fourth Proportional to 655.41, 904.62 and 375.81

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Solution

The fourth proportional to 655.41, 904.62 and 375.81 is: 518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.41 : 904.62 = 375.81 : x
  2. Step 2: Convert to fraction form
    655.41/904.62 = 375.81/x
  3. Step 3: Cross multiply
    655.41x = 904.62 × 375.81
  4. Step 4: Simplify right side
    655.41x = 339,965.24
  5. Step 5: Solve for x
    x = 339,965.24/655.41
  6. Step 6: Final answer
    x = 518.71

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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.