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Finding the Fourth Proportional to 430.46, 593.86 and 273.04

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Solution

The fourth proportional to 430.46, 593.86 and 273.04 is: 376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.46 : 593.86 = 273.04 : x
  2. Step 2: Convert to fraction form
    430.46/593.86 = 273.04/x
  3. Step 3: Cross multiply
    430.46x = 593.86 × 273.04
  4. Step 4: Simplify right side
    430.46x = 162,147.53
  5. Step 5: Solve for x
    x = 162,147.53/430.46
  6. Step 6: Final answer
    x = 376.68

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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.