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Finding the Fourth Proportional to 628.75, 942.78 and 282.42

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Solution

The fourth proportional to 628.75, 942.78 and 282.42 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.75 : 942.78 = 282.42 : x
  2. Step 2: Convert to fraction form
    628.75/942.78 = 282.42/x
  3. Step 3: Cross multiply
    628.75x = 942.78 × 282.42
  4. Step 4: Simplify right side
    628.75x = 266,259.93
  5. Step 5: Solve for x
    x = 266,259.93/628.75
  6. Step 6: Final answer
    x = 423.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.