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Finding the Fourth Proportional to 520.36, 718.01 and 299.27

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Solution

The fourth proportional to 520.36, 718.01 and 299.27 is: 412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.36 : 718.01 = 299.27 : x
  2. Step 2: Convert to fraction form
    520.36/718.01 = 299.27/x
  3. Step 3: Cross multiply
    520.36x = 718.01 × 299.27
  4. Step 4: Simplify right side
    520.36x = 214,878.85
  5. Step 5: Solve for x
    x = 214,878.85/520.36
  6. Step 6: Final answer
    x = 412.94

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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.