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Finding the Fourth Proportional to 430.29, 593.82 and 299.61

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Solution

The fourth proportional to 430.29, 593.82 and 299.61 is: 413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.29 : 593.82 = 299.61 : x
  2. Step 2: Convert to fraction form
    430.29/593.82 = 299.61/x
  3. Step 3: Cross multiply
    430.29x = 593.82 × 299.61
  4. Step 4: Simplify right side
    430.29x = 177,914.41
  5. Step 5: Solve for x
    x = 177,914.41/430.29
  6. Step 6: Final answer
    x = 413.48

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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.