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Finding the Fourth Proportional to 429.60, 592.82 and 254.94

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Solution

The fourth proportional to 429.60, 592.82 and 254.94 is: 351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.60 : 592.82 = 254.94 : x
  2. Step 2: Convert to fraction form
    429.60/592.82 = 254.94/x
  3. Step 3: Cross multiply
    429.60x = 592.82 × 254.94
  4. Step 4: Simplify right side
    429.60x = 151,133.53
  5. Step 5: Solve for x
    x = 151,133.53/429.60
  6. Step 6: Final answer
    x = 351.80

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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.