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Finding the Fourth Proportional to 429.84, 644.79 and 257.68

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Solution

The fourth proportional to 429.84, 644.79 and 257.68 is: 386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.84 : 644.79 = 257.68 : x
  2. Step 2: Convert to fraction form
    429.84/644.79 = 257.68/x
  3. Step 3: Cross multiply
    429.84x = 644.79 × 257.68
  4. Step 4: Simplify right side
    429.84x = 166,151.26
  5. Step 5: Solve for x
    x = 166,151.26/429.84
  6. Step 6: Final answer
    x = 386.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.