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Finding the Fourth Proportional to 554.95, 765.84 and 306.28

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Solution

The fourth proportional to 554.95, 765.84 and 306.28 is: 422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.95 : 765.84 = 306.28 : x
  2. Step 2: Convert to fraction form
    554.95/765.84 = 306.28/x
  3. Step 3: Cross multiply
    554.95x = 765.84 × 306.28
  4. Step 4: Simplify right side
    554.95x = 234,557.65
  5. Step 5: Solve for x
    x = 234,557.65/554.95
  6. Step 6: Final answer
    x = 422.67

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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.