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Finding the Fourth Proportional to 524.60, 786.74 and 342.96

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Solution

The fourth proportional to 524.60, 786.74 and 342.96 is: 514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.60 : 786.74 = 342.96 : x
  2. Step 2: Convert to fraction form
    524.60/786.74 = 342.96/x
  3. Step 3: Cross multiply
    524.60x = 786.74 × 342.96
  4. Step 4: Simplify right side
    524.60x = 269,815.69
  5. Step 5: Solve for x
    x = 269,815.69/524.60
  6. Step 6: Final answer
    x = 514.33

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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.