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Finding the Fourth Proportional to 608.51, 914.13 and 365.21

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Solution

The fourth proportional to 608.51, 914.13 and 365.21 is: 548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.51 : 914.13 = 365.21 : x
  2. Step 2: Convert to fraction form
    608.51/914.13 = 365.21/x
  3. Step 3: Cross multiply
    608.51x = 914.13 × 365.21
  4. Step 4: Simplify right side
    608.51x = 333,844.85
  5. Step 5: Solve for x
    x = 333,844.85/608.51
  6. Step 6: Final answer
    x = 548.63

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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.