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Finding the Fourth Proportional to 623.06, 933.77 and 450.30

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Solution

The fourth proportional to 623.06, 933.77 and 450.30 is: 674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.06 : 933.77 = 450.30 : x
  2. Step 2: Convert to fraction form
    623.06/933.77 = 450.30/x
  3. Step 3: Cross multiply
    623.06x = 933.77 × 450.30
  4. Step 4: Simplify right side
    623.06x = 420,481.26
  5. Step 5: Solve for x
    x = 420,481.26/623.06
  6. Step 6: Final answer
    x = 674.87

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Why These Related Problems?

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