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Finding the Fourth Proportional to 808.88, 1,213.36 and 296.24

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Solution

The fourth proportional to 808.88, 1,213.36 and 296.24 is: 444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.88 : 1,213.36 = 296.24 : x
  2. Step 2: Convert to fraction form
    808.88/1,213.36 = 296.24/x
  3. Step 3: Cross multiply
    808.88x = 1,213.36 × 296.24
  4. Step 4: Simplify right side
    808.88x = 359,445.77
  5. Step 5: Solve for x
    x = 359,445.77/808.88
  6. Step 6: Final answer
    x = 444.37

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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.