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Finding the Fourth Proportional to 442.33, 665.12 and 424.51

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Solution

The fourth proportional to 442.33, 665.12 and 424.51 is: 638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.33 : 665.12 = 424.51 : x
  2. Step 2: Convert to fraction form
    442.33/665.12 = 424.51/x
  3. Step 3: Cross multiply
    442.33x = 665.12 × 424.51
  4. Step 4: Simplify right side
    442.33x = 282,350.09
  5. Step 5: Solve for x
    x = 282,350.09/442.33
  6. Step 6: Final answer
    x = 638.32

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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.