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Finding the Fourth Proportional to 647.50, 893.10 and 385.60

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Solution

The fourth proportional to 647.50, 893.10 and 385.60 is: 531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.50 : 893.10 = 385.60 : x
  2. Step 2: Convert to fraction form
    647.50/893.10 = 385.60/x
  3. Step 3: Cross multiply
    647.50x = 893.10 × 385.60
  4. Step 4: Simplify right side
    647.50x = 344,379.36
  5. Step 5: Solve for x
    x = 344,379.36/647.50
  6. Step 6: Final answer
    x = 531.86

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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.