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Finding the Fourth Proportional to 429.71, 592.63 and 289.80

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Solution

The fourth proportional to 429.71, 592.63 and 289.80 is: 399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.71 : 592.63 = 289.80 : x
  2. Step 2: Convert to fraction form
    429.71/592.63 = 289.80/x
  3. Step 3: Cross multiply
    429.71x = 592.63 × 289.80
  4. Step 4: Simplify right side
    429.71x = 171,743.45
  5. Step 5: Solve for x
    x = 171,743.45/429.71
  6. Step 6: Final answer
    x = 399.68

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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.