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Finding the Fourth Proportional to 433.93, 645.32 and 420.26

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Solution

The fourth proportional to 433.93, 645.32 and 420.26 is: 624.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.93 : 645.32 = 420.26 : x
  2. Step 2: Convert to fraction form
    433.93/645.32 = 420.26/x
  3. Step 3: Cross multiply
    433.93x = 645.32 × 420.26
  4. Step 4: Simplify right side
    433.93x = 271,202.18
  5. Step 5: Solve for x
    x = 271,202.18/433.93
  6. Step 6: Final answer
    x = 624.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.