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Finding the Fourth Proportional to 429.69, 593.31 and 320.34

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Solution

The fourth proportional to 429.69, 593.31 and 320.34 is: 442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.69 : 593.31 = 320.34 : x
  2. Step 2: Convert to fraction form
    429.69/593.31 = 320.34/x
  3. Step 3: Cross multiply
    429.69x = 593.31 × 320.34
  4. Step 4: Simplify right side
    429.69x = 190,060.93
  5. Step 5: Solve for x
    x = 190,060.93/429.69
  6. Step 6: Final answer
    x = 442.32

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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.