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Finding the Fourth Proportional to 507.82, 699.42 and 397.66

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Solution

The fourth proportional to 507.82, 699.42 and 397.66 is: 547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.82 : 699.42 = 397.66 : x
  2. Step 2: Convert to fraction form
    507.82/699.42 = 397.66/x
  3. Step 3: Cross multiply
    507.82x = 699.42 × 397.66
  4. Step 4: Simplify right side
    507.82x = 278,131.36
  5. Step 5: Solve for x
    x = 278,131.36/507.82
  6. Step 6: Final answer
    x = 547.70

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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.