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Finding the Fourth Proportional to 287.93, 434.05 and 269.12

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Solution

The fourth proportional to 287.93, 434.05 and 269.12 is: 405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.93 : 434.05 = 269.12 : x
  2. Step 2: Convert to fraction form
    287.93/434.05 = 269.12/x
  3. Step 3: Cross multiply
    287.93x = 434.05 × 269.12
  4. Step 4: Simplify right side
    287.93x = 116,811.95
  5. Step 5: Solve for x
    x = 116,811.95/287.93
  6. Step 6: Final answer
    x = 405.69

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