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Finding the Fourth Proportional to 647.64, 893.75 and 382.09

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Solution

The fourth proportional to 647.64, 893.75 and 382.09 is: 527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.64 : 893.75 = 382.09 : x
  2. Step 2: Convert to fraction form
    647.64/893.75 = 382.09/x
  3. Step 3: Cross multiply
    647.64x = 893.75 × 382.09
  4. Step 4: Simplify right side
    647.64x = 341,493.89
  5. Step 5: Solve for x
    x = 341,493.89/647.64
  6. Step 6: Final answer
    x = 527.29

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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.