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Finding the Fourth Proportional to 520.30, 718.01 and 299.25

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Solution

The fourth proportional to 520.30, 718.01 and 299.25 is: 412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.30 : 718.01 = 299.25 : x
  2. Step 2: Convert to fraction form
    520.30/718.01 = 299.25/x
  3. Step 3: Cross multiply
    520.30x = 718.01 × 299.25
  4. Step 4: Simplify right side
    520.30x = 214,861.43
  5. Step 5: Solve for x
    x = 214,861.43/520.30
  6. Step 6: Final answer
    x = 412.96

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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.