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Finding the Fourth Proportional to 554.32, 832.20 and 298

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Solution

The fourth proportional to 554.32, 832.20 and 298 is: 447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.32 : 832.20 = 298 : x
  2. Step 2: Convert to fraction form
    554.32/832.20 = 298/x
  3. Step 3: Cross multiply
    554.32x = 832.20 × 298
  4. Step 4: Simplify right side
    554.32x = 247,995.60
  5. Step 5: Solve for x
    x = 247,995.60/554.32
  6. Step 6: Final answer
    x = 447.39

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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.