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Finding the Fourth Proportional to 505.93, 758.94 and 198.04

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Solution

The fourth proportional to 505.93, 758.94 and 198.04 is: 297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.93 : 758.94 = 198.04 : x
  2. Step 2: Convert to fraction form
    505.93/758.94 = 198.04/x
  3. Step 3: Cross multiply
    505.93x = 758.94 × 198.04
  4. Step 4: Simplify right side
    505.93x = 150,300.48
  5. Step 5: Solve for x
    x = 150,300.48/505.93
  6. Step 6: Final answer
    x = 297.08

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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.