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Finding the Fourth Proportional to 808.37, 1,212.29 and 418.32

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Solution

The fourth proportional to 808.37, 1,212.29 and 418.32 is: 627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.37 : 1,212.29 = 418.32 : x
  2. Step 2: Convert to fraction form
    808.37/1,212.29 = 418.32/x
  3. Step 3: Cross multiply
    808.37x = 1,212.29 × 418.32
  4. Step 4: Simplify right side
    808.37x = 507,123.06
  5. Step 5: Solve for x
    x = 507,123.06/808.37
  6. Step 6: Final answer
    x = 627.34

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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.