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Finding the Fourth Proportional to 523.46, 722.32 and 299.41

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Solution

The fourth proportional to 523.46, 722.32 and 299.41 is: 413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.46 : 722.32 = 299.41 : x
  2. Step 2: Convert to fraction form
    523.46/722.32 = 299.41/x
  3. Step 3: Cross multiply
    523.46x = 722.32 × 299.41
  4. Step 4: Simplify right side
    523.46x = 216,267.28
  5. Step 5: Solve for x
    x = 216,267.28/523.46
  6. Step 6: Final answer
    x = 413.15

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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.