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Finding the Fourth Proportional to 647.23, 893.23 and 367.56

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Solution

The fourth proportional to 647.23, 893.23 and 367.56 is: 507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.23 : 893.23 = 367.56 : x
  2. Step 2: Convert to fraction form
    647.23/893.23 = 367.56/x
  3. Step 3: Cross multiply
    647.23x = 893.23 × 367.56
  4. Step 4: Simplify right side
    647.23x = 328,313.89
  5. Step 5: Solve for x
    x = 328,313.89/647.23
  6. Step 6: Final answer
    x = 507.26

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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.