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Finding the Fourth Proportional to 520.07, 717.71 and 284.03

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Solution

The fourth proportional to 520.07, 717.71 and 284.03 is: 391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.07 : 717.71 = 284.03 : x
  2. Step 2: Convert to fraction form
    520.07/717.71 = 284.03/x
  3. Step 3: Cross multiply
    520.07x = 717.71 × 284.03
  4. Step 4: Simplify right side
    520.07x = 203,846.16
  5. Step 5: Solve for x
    x = 203,846.16/520.07
  6. Step 6: Final answer
    x = 391.96

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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.