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Finding the Fourth Proportional to 777.31, 1,166.49 and 290.36

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Solution

The fourth proportional to 777.31, 1,166.49 and 290.36 is: 435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.31 : 1,166.49 = 290.36 : x
  2. Step 2: Convert to fraction form
    777.31/1,166.49 = 290.36/x
  3. Step 3: Cross multiply
    777.31x = 1,166.49 × 290.36
  4. Step 4: Simplify right side
    777.31x = 338,702.04
  5. Step 5: Solve for x
    x = 338,702.04/777.31
  6. Step 6: Final answer
    x = 435.74

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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.