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Finding the Fourth Proportional to 638.24, 952.29 and 530.24

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Solution

The fourth proportional to 638.24, 952.29 and 530.24 is: 791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.24 : 952.29 = 530.24 : x
  2. Step 2: Convert to fraction form
    638.24/952.29 = 530.24/x
  3. Step 3: Cross multiply
    638.24x = 952.29 × 530.24
  4. Step 4: Simplify right side
    638.24x = 504,942.25
  5. Step 5: Solve for x
    x = 504,942.25/638.24
  6. Step 6: Final answer
    x = 791.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.