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Finding the Fourth Proportional to 505.83, 758.99 and 274.71

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Solution

The fourth proportional to 505.83, 758.99 and 274.71 is: 412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.83 : 758.99 = 274.71 : x
  2. Step 2: Convert to fraction form
    505.83/758.99 = 274.71/x
  3. Step 3: Cross multiply
    505.83x = 758.99 × 274.71
  4. Step 4: Simplify right side
    505.83x = 208,500.77
  5. Step 5: Solve for x
    x = 208,500.77/505.83
  6. Step 6: Final answer
    x = 412.20

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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.