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Finding the Fourth Proportional to 534.21, 799.70 and 508.29

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Solution

The fourth proportional to 534.21, 799.70 and 508.29 is: 760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.21 : 799.70 = 508.29 : x
  2. Step 2: Convert to fraction form
    534.21/799.70 = 508.29/x
  3. Step 3: Cross multiply
    534.21x = 799.70 × 508.29
  4. Step 4: Simplify right side
    534.21x = 406,476.97
  5. Step 5: Solve for x
    x = 406,476.97/534.21
  6. Step 6: Final answer
    x = 760.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.