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Finding the Fourth Proportional to 430.38, 593.92 and 233.89

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Solution

The fourth proportional to 430.38, 593.92 and 233.89 is: 322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.38 : 593.92 = 233.89 : x
  2. Step 2: Convert to fraction form
    430.38/593.92 = 233.89/x
  3. Step 3: Cross multiply
    430.38x = 593.92 × 233.89
  4. Step 4: Simplify right side
    430.38x = 138,911.05
  5. Step 5: Solve for x
    x = 138,911.05/430.38
  6. Step 6: Final answer
    x = 322.77

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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.