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Finding the Fourth Proportional to 893.55, 1,338.30 and 431.67

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Solution

The fourth proportional to 893.55, 1,338.30 and 431.67 is: 646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.55 : 1,338.30 = 431.67 : x
  2. Step 2: Convert to fraction form
    893.55/1,338.30 = 431.67/x
  3. Step 3: Cross multiply
    893.55x = 1,338.30 × 431.67
  4. Step 4: Simplify right side
    893.55x = 577,703.96
  5. Step 5: Solve for x
    x = 577,703.96/893.55
  6. Step 6: Final answer
    x = 646.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.