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Finding the Fourth Proportional to 523.57, 722.46 and 299.50

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Solution

The fourth proportional to 523.57, 722.46 and 299.50 is: 413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.57 : 722.46 = 299.50 : x
  2. Step 2: Convert to fraction form
    523.57/722.46 = 299.50/x
  3. Step 3: Cross multiply
    523.57x = 722.46 × 299.50
  4. Step 4: Simplify right side
    523.57x = 216,376.77
  5. Step 5: Solve for x
    x = 216,376.77/523.57
  6. Step 6: Final answer
    x = 413.27

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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.