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Finding the Fourth Proportional to 505.42, 758.40 and 274.48

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Solution

The fourth proportional to 505.42, 758.40 and 274.48 is: 411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.42 : 758.40 = 274.48 : x
  2. Step 2: Convert to fraction form
    505.42/758.40 = 274.48/x
  3. Step 3: Cross multiply
    505.42x = 758.40 × 274.48
  4. Step 4: Simplify right side
    505.42x = 208,165.63
  5. Step 5: Solve for x
    x = 208,165.63/505.42
  6. Step 6: Final answer
    x = 411.87

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