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Finding the Fourth Proportional to 524.89, 787.34 and 236.13

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Solution

The fourth proportional to 524.89, 787.34 and 236.13 is: 354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.89 : 787.34 = 236.13 : x
  2. Step 2: Convert to fraction form
    524.89/787.34 = 236.13/x
  3. Step 3: Cross multiply
    524.89x = 787.34 × 236.13
  4. Step 4: Simplify right side
    524.89x = 185,914.59
  5. Step 5: Solve for x
    x = 185,914.59/524.89
  6. Step 6: Final answer
    x = 354.20

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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.