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Finding the Fourth Proportional to 524.84, 786.68 and 216.52

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Solution

The fourth proportional to 524.84, 786.68 and 216.52 is: 324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.84 : 786.68 = 216.52 : x
  2. Step 2: Convert to fraction form
    524.84/786.68 = 216.52/x
  3. Step 3: Cross multiply
    524.84x = 786.68 × 216.52
  4. Step 4: Simplify right side
    524.84x = 170,334.60
  5. Step 5: Solve for x
    x = 170,334.60/524.84
  6. Step 6: Final answer
    x = 324.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.