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Finding the Fourth Proportional to 287.64, 433.03 and 262.13

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Solution

The fourth proportional to 287.64, 433.03 and 262.13 is: 394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.64 : 433.03 = 262.13 : x
  2. Step 2: Convert to fraction form
    287.64/433.03 = 262.13/x
  3. Step 3: Cross multiply
    287.64x = 433.03 × 262.13
  4. Step 4: Simplify right side
    287.64x = 113,508.84
  5. Step 5: Solve for x
    x = 113,508.84/287.64
  6. Step 6: Final answer
    x = 394.62

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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.