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Finding the Fourth Proportional to 430.30, 593.82 and 233.80

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Solution

The fourth proportional to 430.30, 593.82 and 233.80 is: 322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.30 : 593.82 = 233.80 : x
  2. Step 2: Convert to fraction form
    430.30/593.82 = 233.80/x
  3. Step 3: Cross multiply
    430.30x = 593.82 × 233.80
  4. Step 4: Simplify right side
    430.30x = 138,835.12
  5. Step 5: Solve for x
    x = 138,835.12/430.30
  6. Step 6: Final answer
    x = 322.65

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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.