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Finding the Fourth Proportional to 524.17, 786.40 and 215.86

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Solution

The fourth proportional to 524.17, 786.40 and 215.86 is: 323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.17 : 786.40 = 215.86 : x
  2. Step 2: Convert to fraction form
    524.17/786.40 = 215.86/x
  3. Step 3: Cross multiply
    524.17x = 786.40 × 215.86
  4. Step 4: Simplify right side
    524.17x = 169,752.30
  5. Step 5: Solve for x
    x = 169,752.30/524.17
  6. Step 6: Final answer
    x = 323.85

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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.