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Finding the Fourth Proportional to 524.51, 786.26 and 195.21

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Solution

The fourth proportional to 524.51, 786.26 and 195.21 is: 292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.51 : 786.26 = 195.21 : x
  2. Step 2: Convert to fraction form
    524.51/786.26 = 195.21/x
  3. Step 3: Cross multiply
    524.51x = 786.26 × 195.21
  4. Step 4: Simplify right side
    524.51x = 153,485.20
  5. Step 5: Solve for x
    x = 153,485.20/524.51
  6. Step 6: Final answer
    x = 292.62

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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.