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Finding the Fourth Proportional to 513.44, 707.94 and 419.84

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Solution

The fourth proportional to 513.44, 707.94 and 419.84 is: 578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.44 : 707.94 = 419.84 : x
  2. Step 2: Convert to fraction form
    513.44/707.94 = 419.84/x
  3. Step 3: Cross multiply
    513.44x = 707.94 × 419.84
  4. Step 4: Simplify right side
    513.44x = 297,221.53
  5. Step 5: Solve for x
    x = 297,221.53/513.44
  6. Step 6: Final answer
    x = 578.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.