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Finding the Fourth Proportional to 524.32, 786.06 and 216.32

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Solution

The fourth proportional to 524.32, 786.06 and 216.32 is: 324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.32 : 786.06 = 216.32 : x
  2. Step 2: Convert to fraction form
    524.32/786.06 = 216.32/x
  3. Step 3: Cross multiply
    524.32x = 786.06 × 216.32
  4. Step 4: Simplify right side
    524.32x = 170,036.57
  5. Step 5: Solve for x
    x = 170,036.57/524.32
  6. Step 6: Final answer
    x = 324.30

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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.