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Finding the Fourth Proportional to 520.46, 718.34 and 299.50

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Solution

The fourth proportional to 520.46, 718.34 and 299.50 is: 413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.46 : 718.34 = 299.50 : x
  2. Step 2: Convert to fraction form
    520.46/718.34 = 299.50/x
  3. Step 3: Cross multiply
    520.46x = 718.34 × 299.50
  4. Step 4: Simplify right side
    520.46x = 215,139.54
  5. Step 5: Solve for x
    x = 215,139.54/520.46
  6. Step 6: Final answer
    x = 413.37

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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.