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Finding the Fourth Proportional to 524.17, 786.26 and 235.27

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Solution

The fourth proportional to 524.17, 786.26 and 235.27 is: 352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.17 : 786.26 = 235.27 : x
  2. Step 2: Convert to fraction form
    524.17/786.26 = 235.27/x
  3. Step 3: Cross multiply
    524.17x = 786.26 × 235.27
  4. Step 4: Simplify right side
    524.17x = 184,983.64
  5. Step 5: Solve for x
    x = 184,983.64/524.17
  6. Step 6: Final answer
    x = 352.91

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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.