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Finding the Fourth Proportional to 518.84, 777.90 and 313.84

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Solution

The fourth proportional to 518.84, 777.90 and 313.84 is: 470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.84 : 777.90 = 313.84 : x
  2. Step 2: Convert to fraction form
    518.84/777.90 = 313.84/x
  3. Step 3: Cross multiply
    518.84x = 777.90 × 313.84
  4. Step 4: Simplify right side
    518.84x = 244,136.14
  5. Step 5: Solve for x
    x = 244,136.14/518.84
  6. Step 6: Final answer
    x = 470.54

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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.