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Finding the Fourth Proportional to 647.78, 893.85 and 415.22

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Solution

The fourth proportional to 647.78, 893.85 and 415.22 is: 572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.78 : 893.85 = 415.22 : x
  2. Step 2: Convert to fraction form
    647.78/893.85 = 415.22/x
  3. Step 3: Cross multiply
    647.78x = 893.85 × 415.22
  4. Step 4: Simplify right side
    647.78x = 371,144.40
  5. Step 5: Solve for x
    x = 371,144.40/647.78
  6. Step 6: Final answer
    x = 572.95

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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.