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Finding the Fourth Proportional to 505.98, 757.76 and 286.06

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Solution

The fourth proportional to 505.98, 757.76 and 286.06 is: 428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.98 : 757.76 = 286.06 : x
  2. Step 2: Convert to fraction form
    505.98/757.76 = 286.06/x
  3. Step 3: Cross multiply
    505.98x = 757.76 × 286.06
  4. Step 4: Simplify right side
    505.98x = 216,764.83
  5. Step 5: Solve for x
    x = 216,764.83/505.98
  6. Step 6: Final answer
    x = 428.41

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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.