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Finding the Fourth Proportional to 505.84, 756.84 and 334

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Solution

The fourth proportional to 505.84, 756.84 and 334 is: 499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.84 : 756.84 = 334 : x
  2. Step 2: Convert to fraction form
    505.84/756.84 = 334/x
  3. Step 3: Cross multiply
    505.84x = 756.84 × 334
  4. Step 4: Simplify right side
    505.84x = 252,784.56
  5. Step 5: Solve for x
    x = 252,784.56/505.84
  6. Step 6: Final answer
    x = 499.73

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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.