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Finding the Fourth Proportional to 647.98, 894.23 and 385.99

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Solution

The fourth proportional to 647.98, 894.23 and 385.99 is: 532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.98 : 894.23 = 385.99 : x
  2. Step 2: Convert to fraction form
    647.98/894.23 = 385.99/x
  3. Step 3: Cross multiply
    647.98x = 894.23 × 385.99
  4. Step 4: Simplify right side
    647.98x = 345,163.84
  5. Step 5: Solve for x
    x = 345,163.84/647.98
  6. Step 6: Final answer
    x = 532.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.