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Finding the Fourth Proportional to 647.52, 893.60 and 352.82

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Solution

The fourth proportional to 647.52, 893.60 and 352.82 is: 486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.52 : 893.60 = 352.82 : x
  2. Step 2: Convert to fraction form
    647.52/893.60 = 352.82/x
  3. Step 3: Cross multiply
    647.52x = 893.60 × 352.82
  4. Step 4: Simplify right side
    647.52x = 315,273.72
  5. Step 5: Solve for x
    x = 315,273.72/647.52
  6. Step 6: Final answer
    x = 486.89

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Why These Related Problems?

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