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Finding the Fourth Proportional to 554.64, 765.41 and 305.97

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Solution

The fourth proportional to 554.64, 765.41 and 305.97 is: 422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.64 : 765.41 = 305.97 : x
  2. Step 2: Convert to fraction form
    554.64/765.41 = 305.97/x
  3. Step 3: Cross multiply
    554.64x = 765.41 × 305.97
  4. Step 4: Simplify right side
    554.64x = 234,192.50
  5. Step 5: Solve for x
    x = 234,192.50/554.64
  6. Step 6: Final answer
    x = 422.24

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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.