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Finding the Fourth Proportional to 504.26, 759.84 and 414.96

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Solution

The fourth proportional to 504.26, 759.84 and 414.96 is: 625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.26 : 759.84 = 414.96 : x
  2. Step 2: Convert to fraction form
    504.26/759.84 = 414.96/x
  3. Step 3: Cross multiply
    504.26x = 759.84 × 414.96
  4. Step 4: Simplify right side
    504.26x = 315,303.21
  5. Step 5: Solve for x
    x = 315,303.21/504.26
  6. Step 6: Final answer
    x = 625.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.