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Finding the Fourth Proportional to 505.68, 758.64 and 231.84

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Solution

The fourth proportional to 505.68, 758.64 and 231.84 is: 347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.68 : 758.64 = 231.84 : x
  2. Step 2: Convert to fraction form
    505.68/758.64 = 231.84/x
  3. Step 3: Cross multiply
    505.68x = 758.64 × 231.84
  4. Step 4: Simplify right side
    505.68x = 175,883.10
  5. Step 5: Solve for x
    x = 175,883.10/505.68
  6. Step 6: Final answer
    x = 347.82

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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.