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Finding the Fourth Proportional to 430.87, 593.89 and 299.65

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Solution

The fourth proportional to 430.87, 593.89 and 299.65 is: 413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.87 : 593.89 = 299.65 : x
  2. Step 2: Convert to fraction form
    430.87/593.89 = 299.65/x
  3. Step 3: Cross multiply
    430.87x = 593.89 × 299.65
  4. Step 4: Simplify right side
    430.87x = 177,959.14
  5. Step 5: Solve for x
    x = 177,959.14/430.87
  6. Step 6: Final answer
    x = 413.02

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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.