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Finding the Fourth Proportional to 508.26, 699.84 and 449.94

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Solution

The fourth proportional to 508.26, 699.84 and 449.94 is: 619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.26 : 699.84 = 449.94 : x
  2. Step 2: Convert to fraction form
    508.26/699.84 = 449.94/x
  3. Step 3: Cross multiply
    508.26x = 699.84 × 449.94
  4. Step 4: Simplify right side
    508.26x = 314,886.01
  5. Step 5: Solve for x
    x = 314,886.01/508.26
  6. Step 6: Final answer
    x = 619.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.