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Finding the Fourth Proportional to 524.58, 786.99 and 212.18

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Solution

The fourth proportional to 524.58, 786.99 and 212.18 is: 318.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.58 : 786.99 = 212.18 : x
  2. Step 2: Convert to fraction form
    524.58/786.99 = 212.18/x
  3. Step 3: Cross multiply
    524.58x = 786.99 × 212.18
  4. Step 4: Simplify right side
    524.58x = 166,979.60
  5. Step 5: Solve for x
    x = 166,979.60/524.58
  6. Step 6: Final answer
    x = 318.31

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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.