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Finding the Fourth Proportional to 727.32, 1,091.04 and 240.24

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Solution

The fourth proportional to 727.32, 1,091.04 and 240.24 is: 360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.32 : 1,091.04 = 240.24 : x
  2. Step 2: Convert to fraction form
    727.32/1,091.04 = 240.24/x
  3. Step 3: Cross multiply
    727.32x = 1,091.04 × 240.24
  4. Step 4: Simplify right side
    727.32x = 262,111.45
  5. Step 5: Solve for x
    x = 262,111.45/727.32
  6. Step 6: Final answer
    x = 360.38

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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.