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Finding the Fourth Proportional to 442.99, 664.08 and 306.10

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Solution

The fourth proportional to 442.99, 664.08 and 306.10 is: 458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.99 : 664.08 = 306.10 : x
  2. Step 2: Convert to fraction form
    442.99/664.08 = 306.10/x
  3. Step 3: Cross multiply
    442.99x = 664.08 × 306.10
  4. Step 4: Simplify right side
    442.99x = 203,274.89
  5. Step 5: Solve for x
    x = 203,274.89/442.99
  6. Step 6: Final answer
    x = 458.87

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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.