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Finding the Fourth Proportional to 524.38, 786.48 and 159.10

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Solution

The fourth proportional to 524.38, 786.48 and 159.10 is: 238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.38 : 786.48 = 159.10 : x
  2. Step 2: Convert to fraction form
    524.38/786.48 = 159.10/x
  3. Step 3: Cross multiply
    524.38x = 786.48 × 159.10
  4. Step 4: Simplify right side
    524.38x = 125,128.97
  5. Step 5: Solve for x
    x = 125,128.97/524.38
  6. Step 6: Final answer
    x = 238.62

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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.