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Finding the Fourth Proportional to 511.53, 704.60 and 400.82

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Solution

The fourth proportional to 511.53, 704.60 and 400.82 is: 552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.53 : 704.60 = 400.82 : x
  2. Step 2: Convert to fraction form
    511.53/704.60 = 400.82/x
  3. Step 3: Cross multiply
    511.53x = 704.60 × 400.82
  4. Step 4: Simplify right side
    511.53x = 282,412.24
  5. Step 5: Solve for x
    x = 282,412.24/511.53
  6. Step 6: Final answer
    x = 552.09

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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.