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Finding the Fourth Proportional to 524.40, 786.36 and 263.84

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Solution

The fourth proportional to 524.40, 786.36 and 263.84 is: 395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.40 : 786.36 = 263.84 : x
  2. Step 2: Convert to fraction form
    524.40/786.36 = 263.84/x
  3. Step 3: Cross multiply
    524.40x = 786.36 × 263.84
  4. Step 4: Simplify right side
    524.40x = 207,473.22
  5. Step 5: Solve for x
    x = 207,473.22/524.40
  6. Step 6: Final answer
    x = 395.64

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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.