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Finding the Fourth Proportional to 554.16, 764.68 and 321.24

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Solution

The fourth proportional to 554.16, 764.68 and 321.24 is: 443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.16 : 764.68 = 321.24 : x
  2. Step 2: Convert to fraction form
    554.16/764.68 = 321.24/x
  3. Step 3: Cross multiply
    554.16x = 764.68 × 321.24
  4. Step 4: Simplify right side
    554.16x = 245,645.80
  5. Step 5: Solve for x
    x = 245,645.80/554.16
  6. Step 6: Final answer
    x = 443.28

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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.