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Finding the Fourth Proportional to 613.77, 921.43 and 370.77

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Solution

The fourth proportional to 613.77, 921.43 and 370.77 is: 556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.77 : 921.43 = 370.77 : x
  2. Step 2: Convert to fraction form
    613.77/921.43 = 370.77/x
  3. Step 3: Cross multiply
    613.77x = 921.43 × 370.77
  4. Step 4: Simplify right side
    613.77x = 341,633.07
  5. Step 5: Solve for x
    x = 341,633.07/613.77
  6. Step 6: Final answer
    x = 556.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.