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Finding the Fourth Proportional to 504.94, 759.09 and 414.31

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Solution

The fourth proportional to 504.94, 759.09 and 414.31 is: 622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.94 : 759.09 = 414.31 : x
  2. Step 2: Convert to fraction form
    504.94/759.09 = 414.31/x
  3. Step 3: Cross multiply
    504.94x = 759.09 × 414.31
  4. Step 4: Simplify right side
    504.94x = 314,498.58
  5. Step 5: Solve for x
    x = 314,498.58/504.94
  6. Step 6: Final answer
    x = 622.84

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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.