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Finding the Fourth Proportional to 506.82, 704.10 and 502.32

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Solution

The fourth proportional to 506.82, 704.10 and 502.32 is: 697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.82 : 704.10 = 502.32 : x
  2. Step 2: Convert to fraction form
    506.82/704.10 = 502.32/x
  3. Step 3: Cross multiply
    506.82x = 704.10 × 502.32
  4. Step 4: Simplify right side
    506.82x = 353,683.51
  5. Step 5: Solve for x
    x = 353,683.51/506.82
  6. Step 6: Final answer
    x = 697.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.