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Finding the Fourth Proportional to 727.27, 1,090.95 and 240.32

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Solution

The fourth proportional to 727.27, 1,090.95 and 240.32 is: 360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.27 : 1,090.95 = 240.32 : x
  2. Step 2: Convert to fraction form
    727.27/1,090.95 = 240.32/x
  3. Step 3: Cross multiply
    727.27x = 1,090.95 × 240.32
  4. Step 4: Simplify right side
    727.27x = 262,179.83
  5. Step 5: Solve for x
    x = 262,179.83/727.27
  6. Step 6: Final answer
    x = 360.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.