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Finding the Fourth Proportional to 505.51, 758.63 and 231.79

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Solution

The fourth proportional to 505.51, 758.63 and 231.79 is: 347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.51 : 758.63 = 231.79 : x
  2. Step 2: Convert to fraction form
    505.51/758.63 = 231.79/x
  3. Step 3: Cross multiply
    505.51x = 758.63 × 231.79
  4. Step 4: Simplify right side
    505.51x = 175,840.82
  5. Step 5: Solve for x
    x = 175,840.82/505.51
  6. Step 6: Final answer
    x = 347.85

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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.