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Finding the Fourth Proportional to 523.79, 786.06 and 215.66

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Solution

The fourth proportional to 523.79, 786.06 and 215.66 is: 323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.79 : 786.06 = 215.66 : x
  2. Step 2: Convert to fraction form
    523.79/786.06 = 215.66/x
  3. Step 3: Cross multiply
    523.79x = 786.06 × 215.66
  4. Step 4: Simplify right side
    523.79x = 169,523.66
  5. Step 5: Solve for x
    x = 169,523.66/523.79
  6. Step 6: Final answer
    x = 323.65

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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.