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Finding the Fourth Proportional to 433.01, 597.78 and 285.80

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Solution

The fourth proportional to 433.01, 597.78 and 285.80 is: 394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.01 : 597.78 = 285.80 : x
  2. Step 2: Convert to fraction form
    433.01/597.78 = 285.80/x
  3. Step 3: Cross multiply
    433.01x = 597.78 × 285.80
  4. Step 4: Simplify right side
    433.01x = 170,842.54
  5. Step 5: Solve for x
    x = 170,842.54/433.01
  6. Step 6: Final answer
    x = 394.54

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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.