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Finding the Fourth Proportional to 505.65, 757.46 and 231.36

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Solution

The fourth proportional to 505.65, 757.46 and 231.36 is: 346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.65 : 757.46 = 231.36 : x
  2. Step 2: Convert to fraction form
    505.65/757.46 = 231.36/x
  3. Step 3: Cross multiply
    505.65x = 757.46 × 231.36
  4. Step 4: Simplify right side
    505.65x = 175,246.64
  5. Step 5: Solve for x
    x = 175,246.64/505.65
  6. Step 6: Final answer
    x = 346.58

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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.