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Finding the Fourth Proportional to 436.65, 657.92 and 361.31

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Solution

The fourth proportional to 436.65, 657.92 and 361.31 is: 544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.65 : 657.92 = 361.31 : x
  2. Step 2: Convert to fraction form
    436.65/657.92 = 361.31/x
  3. Step 3: Cross multiply
    436.65x = 657.92 × 361.31
  4. Step 4: Simplify right side
    436.65x = 237,707.98
  5. Step 5: Solve for x
    x = 237,707.98/436.65
  6. Step 6: Final answer
    x = 544.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.