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Finding the Fourth Proportional to 520.16, 717.86 and 299.13

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Solution

The fourth proportional to 520.16, 717.86 and 299.13 is: 412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.16 : 717.86 = 299.13 : x
  2. Step 2: Convert to fraction form
    520.16/717.86 = 299.13/x
  3. Step 3: Cross multiply
    520.16x = 717.86 × 299.13
  4. Step 4: Simplify right side
    520.16x = 214,731.97
  5. Step 5: Solve for x
    x = 214,731.97/520.16
  6. Step 6: Final answer
    x = 412.82

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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.