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Finding the Fourth Proportional to 534.46, 799.62 and 468.94

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Solution

The fourth proportional to 534.46, 799.62 and 468.94 is: 701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.46 : 799.62 = 468.94 : x
  2. Step 2: Convert to fraction form
    534.46/799.62 = 468.94/x
  3. Step 3: Cross multiply
    534.46x = 799.62 × 468.94
  4. Step 4: Simplify right side
    534.46x = 374,973.80
  5. Step 5: Solve for x
    x = 374,973.80/534.46
  6. Step 6: Final answer
    x = 701.59

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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.