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Finding the Fourth Proportional to 360.03, 541.88 and 269.21

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Solution

The fourth proportional to 360.03, 541.88 and 269.21 is: 405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.03 : 541.88 = 269.21 : x
  2. Step 2: Convert to fraction form
    360.03/541.88 = 269.21/x
  3. Step 3: Cross multiply
    360.03x = 541.88 × 269.21
  4. Step 4: Simplify right side
    360.03x = 145,879.51
  5. Step 5: Solve for x
    x = 145,879.51/360.03
  6. Step 6: Final answer
    x = 405.19

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Why These Related Problems?

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