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Finding the Fourth Proportional to 554.94, 765.75 and 306.24

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Solution

The fourth proportional to 554.94, 765.75 and 306.24 is: 422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.94 : 765.75 = 306.24 : x
  2. Step 2: Convert to fraction form
    554.94/765.75 = 306.24/x
  3. Step 3: Cross multiply
    554.94x = 765.75 × 306.24
  4. Step 4: Simplify right side
    554.94x = 234,503.28
  5. Step 5: Solve for x
    x = 234,503.28/554.94
  6. Step 6: Final answer
    x = 422.57

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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.