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Finding the Fourth Proportional to 429.93, 593.30 and 233.45

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Solution

The fourth proportional to 429.93, 593.30 and 233.45 is: 322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.93 : 593.30 = 233.45 : x
  2. Step 2: Convert to fraction form
    429.93/593.30 = 233.45/x
  3. Step 3: Cross multiply
    429.93x = 593.30 × 233.45
  4. Step 4: Simplify right side
    429.93x = 138,502.92
  5. Step 5: Solve for x
    x = 138,502.92/429.93
  6. Step 6: Final answer
    x = 322.15

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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.