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Finding the Fourth Proportional to 429.98, 593.34 and 233.48

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Solution

The fourth proportional to 429.98, 593.34 and 233.48 is: 322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.98 : 593.34 = 233.48 : x
  2. Step 2: Convert to fraction form
    429.98/593.34 = 233.48/x
  3. Step 3: Cross multiply
    429.98x = 593.34 × 233.48
  4. Step 4: Simplify right side
    429.98x = 138,533.63
  5. Step 5: Solve for x
    x = 138,533.63/429.98
  6. Step 6: Final answer
    x = 322.19

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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.