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Finding the Fourth Proportional to 647.76, 893.94 and 382.21

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Solution

The fourth proportional to 647.76, 893.94 and 382.21 is: 527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.76 : 893.94 = 382.21 : x
  2. Step 2: Convert to fraction form
    647.76/893.94 = 382.21/x
  3. Step 3: Cross multiply
    647.76x = 893.94 × 382.21
  4. Step 4: Simplify right side
    647.76x = 341,672.81
  5. Step 5: Solve for x
    x = 341,672.81/647.76
  6. Step 6: Final answer
    x = 527.47

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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.