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Finding the Fourth Proportional to 808.64, 1,213.12 and 288.68

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Solution

The fourth proportional to 808.64, 1,213.12 and 288.68 is: 433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.64 : 1,213.12 = 288.68 : x
  2. Step 2: Convert to fraction form
    808.64/1,213.12 = 288.68/x
  3. Step 3: Cross multiply
    808.64x = 1,213.12 × 288.68
  4. Step 4: Simplify right side
    808.64x = 350,203.48
  5. Step 5: Solve for x
    x = 350,203.48/808.64
  6. Step 6: Final answer
    x = 433.08

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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.