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Finding the Fourth Proportional to 647.93, 893.99 and 395.80

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Solution

The fourth proportional to 647.93, 893.99 and 395.80 is: 546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.93 : 893.99 = 395.80 : x
  2. Step 2: Convert to fraction form
    647.93/893.99 = 395.80/x
  3. Step 3: Cross multiply
    647.93x = 893.99 × 395.80
  4. Step 4: Simplify right side
    647.93x = 353,835.78
  5. Step 5: Solve for x
    x = 353,835.78/647.93
  6. Step 6: Final answer
    x = 546.10

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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.