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Finding the Fourth Proportional to 520.37, 718.02 and 299.24

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Solution

The fourth proportional to 520.37, 718.02 and 299.24 is: 412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.37 : 718.02 = 299.24 : x
  2. Step 2: Convert to fraction form
    520.37/718.02 = 299.24/x
  3. Step 3: Cross multiply
    520.37x = 718.02 × 299.24
  4. Step 4: Simplify right side
    520.37x = 214,860.30
  5. Step 5: Solve for x
    x = 214,860.30/520.37
  6. Step 6: Final answer
    x = 412.90

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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.