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Finding the Fourth Proportional to 520.33, 718.05 and 299.27

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Solution

The fourth proportional to 520.33, 718.05 and 299.27 is: 412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.33 : 718.05 = 299.27 : x
  2. Step 2: Convert to fraction form
    520.33/718.05 = 299.27/x
  3. Step 3: Cross multiply
    520.33x = 718.05 × 299.27
  4. Step 4: Simplify right side
    520.33x = 214,890.82
  5. Step 5: Solve for x
    x = 214,890.82/520.33
  6. Step 6: Final answer
    x = 412.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.