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Finding the Fourth Proportional to 429.82, 593.15 and 233.33

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Solution

The fourth proportional to 429.82, 593.15 and 233.33 is: 322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.82 : 593.15 = 233.33 : x
  2. Step 2: Convert to fraction form
    429.82/593.15 = 233.33/x
  3. Step 3: Cross multiply
    429.82x = 593.15 × 233.33
  4. Step 4: Simplify right side
    429.82x = 138,400.21
  5. Step 5: Solve for x
    x = 138,400.21/429.82
  6. Step 6: Final answer
    x = 322.00

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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.