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Finding the Fourth Proportional to 482.43, 663.29 and 429.47

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Solution

The fourth proportional to 482.43, 663.29 and 429.47 is: 590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.43 : 663.29 = 429.47 : x
  2. Step 2: Convert to fraction form
    482.43/663.29 = 429.47/x
  3. Step 3: Cross multiply
    482.43x = 663.29 × 429.47
  4. Step 4: Simplify right side
    482.43x = 284,863.16
  5. Step 5: Solve for x
    x = 284,863.16/482.43
  6. Step 6: Final answer
    x = 590.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.