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Finding the Fourth Proportional to 429.49, 592.69 and 233.00

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Solution

The fourth proportional to 429.49, 592.69 and 233.00 is: 321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.49 : 592.69 = 233.00 : x
  2. Step 2: Convert to fraction form
    429.49/592.69 = 233.00/x
  3. Step 3: Cross multiply
    429.49x = 592.69 × 233.00
  4. Step 4: Simplify right side
    429.49x = 138,096.32
  5. Step 5: Solve for x
    x = 138,096.32/429.49
  6. Step 6: Final answer
    x = 321.54

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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.