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Finding the Fourth Proportional to 287.54, 428.58 and 269.18

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Solution

The fourth proportional to 287.54, 428.58 and 269.18 is: 401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.54 : 428.58 = 269.18 : x
  2. Step 2: Convert to fraction form
    287.54/428.58 = 269.18/x
  3. Step 3: Cross multiply
    287.54x = 428.58 × 269.18
  4. Step 4: Simplify right side
    287.54x = 115,365.16
  5. Step 5: Solve for x
    x = 115,365.16/287.54
  6. Step 6: Final answer
    x = 401.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.