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Finding the Fourth Proportional to 524.84, 787.23 and 216.60

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Solution

The fourth proportional to 524.84, 787.23 and 216.60 is: 324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.84 : 787.23 = 216.60 : x
  2. Step 2: Convert to fraction form
    524.84/787.23 = 216.60/x
  3. Step 3: Cross multiply
    524.84x = 787.23 × 216.60
  4. Step 4: Simplify right side
    524.84x = 170,514.02
  5. Step 5: Solve for x
    x = 170,514.02/524.84
  6. Step 6: Final answer
    x = 324.89

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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.