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Finding the Fourth Proportional to 639.69, 882.43 and 429.51

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Solution

The fourth proportional to 639.69, 882.43 and 429.51 is: 592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.69 : 882.43 = 429.51 : x
  2. Step 2: Convert to fraction form
    639.69/882.43 = 429.51/x
  3. Step 3: Cross multiply
    639.69x = 882.43 × 429.51
  4. Step 4: Simplify right side
    639.69x = 379,010.36
  5. Step 5: Solve for x
    x = 379,010.36/639.69
  6. Step 6: Final answer
    x = 592.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.