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Finding the Fourth Proportional to 482.01, 663.15 and 429.09

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Solution

The fourth proportional to 482.01, 663.15 and 429.09 is: 590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.01 : 663.15 = 429.09 : x
  2. Step 2: Convert to fraction form
    482.01/663.15 = 429.09/x
  3. Step 3: Cross multiply
    482.01x = 663.15 × 429.09
  4. Step 4: Simplify right side
    482.01x = 284,551.03
  5. Step 5: Solve for x
    x = 284,551.03/482.01
  6. Step 6: Final answer
    x = 590.34

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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.