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Finding the Fourth Proportional to 554.75, 832.17 and 212.75

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Solution

The fourth proportional to 554.75, 832.17 and 212.75 is: 319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.75 : 832.17 = 212.75 : x
  2. Step 2: Convert to fraction form
    554.75/832.17 = 212.75/x
  3. Step 3: Cross multiply
    554.75x = 832.17 × 212.75
  4. Step 4: Simplify right side
    554.75x = 177,043.10
  5. Step 5: Solve for x
    x = 177,043.10/554.75
  6. Step 6: Final answer
    x = 319.14

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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.