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Finding the Fourth Proportional to 524.48, 786.72 and 159.27

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Solution

The fourth proportional to 524.48, 786.72 and 159.27 is: 238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.48 : 786.72 = 159.27 : x
  2. Step 2: Convert to fraction form
    524.48/786.72 = 159.27/x
  3. Step 3: Cross multiply
    524.48x = 786.72 × 159.27
  4. Step 4: Simplify right side
    524.48x = 125,300.89
  5. Step 5: Solve for x
    x = 125,300.89/524.48
  6. Step 6: Final answer
    x = 238.91

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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.