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Finding the Fourth Proportional to 647.21, 893.15 and 395.06

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Solution

The fourth proportional to 647.21, 893.15 and 395.06 is: 545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.21 : 893.15 = 395.06 : x
  2. Step 2: Convert to fraction form
    647.21/893.15 = 395.06/x
  3. Step 3: Cross multiply
    647.21x = 893.15 × 395.06
  4. Step 4: Simplify right side
    647.21x = 352,847.84
  5. Step 5: Solve for x
    x = 352,847.84/647.21
  6. Step 6: Final answer
    x = 545.18

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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.