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Finding the Fourth Proportional to 442.37, 610.65 and 337.46

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Solution

The fourth proportional to 442.37, 610.65 and 337.46 is: 465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.37 : 610.65 = 337.46 : x
  2. Step 2: Convert to fraction form
    442.37/610.65 = 337.46/x
  3. Step 3: Cross multiply
    442.37x = 610.65 × 337.46
  4. Step 4: Simplify right side
    442.37x = 206,066.90
  5. Step 5: Solve for x
    x = 206,066.90/442.37
  6. Step 6: Final answer
    x = 465.82

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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.