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Finding the Fourth Proportional to 505.19, 757.77 and 505.19

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Solution

The fourth proportional to 505.19, 757.77 and 505.19 is: 757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.19 : 757.77 = 505.19 : x
  2. Step 2: Convert to fraction form
    505.19/757.77 = 505.19/x
  3. Step 3: Cross multiply
    505.19x = 757.77 × 505.19
  4. Step 4: Simplify right side
    505.19x = 382,817.83
  5. Step 5: Solve for x
    x = 382,817.83/505.19
  6. Step 6: Final answer
    x = 757.77

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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.