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Finding the Fourth Proportional to 430.31, 593.83 and 233.84

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Solution

The fourth proportional to 430.31, 593.83 and 233.84 is: 322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.31 : 593.83 = 233.84 : x
  2. Step 2: Convert to fraction form
    430.31/593.83 = 233.84/x
  3. Step 3: Cross multiply
    430.31x = 593.83 × 233.84
  4. Step 4: Simplify right side
    430.31x = 138,859.64
  5. Step 5: Solve for x
    x = 138,859.64/430.31
  6. Step 6: Final answer
    x = 322.69

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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.