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Finding the Fourth Proportional to 504.25, 755.01 and 260.27

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Solution

The fourth proportional to 504.25, 755.01 and 260.27 is: 389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.25 : 755.01 = 260.27 : x
  2. Step 2: Convert to fraction form
    504.25/755.01 = 260.27/x
  3. Step 3: Cross multiply
    504.25x = 755.01 × 260.27
  4. Step 4: Simplify right side
    504.25x = 196,506.45
  5. Step 5: Solve for x
    x = 196,506.45/504.25
  6. Step 6: Final answer
    x = 389.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.