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Finding the Fourth Proportional to 507.42, 700.23 and 274.54

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Solution

The fourth proportional to 507.42, 700.23 and 274.54 is: 378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 700.23 = 274.54 : x
  2. Step 2: Convert to fraction form
    507.42/700.23 = 274.54/x
  3. Step 3: Cross multiply
    507.42x = 700.23 × 274.54
  4. Step 4: Simplify right side
    507.42x = 192,241.14
  5. Step 5: Solve for x
    x = 192,241.14/507.42
  6. Step 6: Final answer
    x = 378.86

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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.