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Finding the Fourth Proportional to 534.22, 800.84 and 290.46

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Solution

The fourth proportional to 534.22, 800.84 and 290.46 is: 435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.22 : 800.84 = 290.46 : x
  2. Step 2: Convert to fraction form
    534.22/800.84 = 290.46/x
  3. Step 3: Cross multiply
    534.22x = 800.84 × 290.46
  4. Step 4: Simplify right side
    534.22x = 232,611.99
  5. Step 5: Solve for x
    x = 232,611.99/534.22
  6. Step 6: Final answer
    x = 435.42

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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.