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Finding the Fourth Proportional to 537.19, 806.06 and 407.15

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Solution

The fourth proportional to 537.19, 806.06 and 407.15 is: 610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.19 : 806.06 = 407.15 : x
  2. Step 2: Convert to fraction form
    537.19/806.06 = 407.15/x
  3. Step 3: Cross multiply
    537.19x = 806.06 × 407.15
  4. Step 4: Simplify right side
    537.19x = 328,185.29
  5. Step 5: Solve for x
    x = 328,185.29/537.19
  6. Step 6: Final answer
    x = 610.94

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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.