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Finding the Fourth Proportional to 520.67, 718.54 and 299.66

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Solution

The fourth proportional to 520.67, 718.54 and 299.66 is: 413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.67 : 718.54 = 299.66 : x
  2. Step 2: Convert to fraction form
    520.67/718.54 = 299.66/x
  3. Step 3: Cross multiply
    520.67x = 718.54 × 299.66
  4. Step 4: Simplify right side
    520.67x = 215,317.70
  5. Step 5: Solve for x
    x = 215,317.70/520.67
  6. Step 6: Final answer
    x = 413.54

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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.