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Finding the Fourth Proportional to 554.42, 765.14 and 305.75

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Solution

The fourth proportional to 554.42, 765.14 and 305.75 is: 421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.42 : 765.14 = 305.75 : x
  2. Step 2: Convert to fraction form
    554.42/765.14 = 305.75/x
  3. Step 3: Cross multiply
    554.42x = 765.14 × 305.75
  4. Step 4: Simplify right side
    554.42x = 233,940.65
  5. Step 5: Solve for x
    x = 233,940.65/554.42
  6. Step 6: Final answer
    x = 421.96

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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.