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Finding the Fourth Proportional to 442.14, 608.31 and 429.18

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Solution

The fourth proportional to 442.14, 608.31 and 429.18 is: 590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.14 : 608.31 = 429.18 : x
  2. Step 2: Convert to fraction form
    442.14/608.31 = 429.18/x
  3. Step 3: Cross multiply
    442.14x = 608.31 × 429.18
  4. Step 4: Simplify right side
    442.14x = 261,074.49
  5. Step 5: Solve for x
    x = 261,074.49/442.14
  6. Step 6: Final answer
    x = 590.48

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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.