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Finding the Fourth Proportional to 429.29, 592.76 and 289.43

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Solution

The fourth proportional to 429.29, 592.76 and 289.43 is: 399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.29 : 592.76 = 289.43 : x
  2. Step 2: Convert to fraction form
    429.29/592.76 = 289.43/x
  3. Step 3: Cross multiply
    429.29x = 592.76 × 289.43
  4. Step 4: Simplify right side
    429.29x = 171,562.53
  5. Step 5: Solve for x
    x = 171,562.53/429.29
  6. Step 6: Final answer
    x = 399.64

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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.