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Finding the Fourth Proportional to 554.67, 765.72 and 378.54

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Solution

The fourth proportional to 554.67, 765.72 and 378.54 is: 522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.67 : 765.72 = 378.54 : x
  2. Step 2: Convert to fraction form
    554.67/765.72 = 378.54/x
  3. Step 3: Cross multiply
    554.67x = 765.72 × 378.54
  4. Step 4: Simplify right side
    554.67x = 289,855.65
  5. Step 5: Solve for x
    x = 289,855.65/554.67
  6. Step 6: Final answer
    x = 522.57

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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.