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Finding the Fourth Proportional to 430.78, 593.43 and 320.07

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Solution

The fourth proportional to 430.78, 593.43 and 320.07 is: 440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.78 : 593.43 = 320.07 : x
  2. Step 2: Convert to fraction form
    430.78/593.43 = 320.07/x
  3. Step 3: Cross multiply
    430.78x = 593.43 × 320.07
  4. Step 4: Simplify right side
    430.78x = 189,936.97
  5. Step 5: Solve for x
    x = 189,936.97/430.78
  6. Step 6: Final answer
    x = 440.91

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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.