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Finding the Fourth Proportional to 433.03, 597.37 and 285.61

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Solution

The fourth proportional to 433.03, 597.37 and 285.61 is: 394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.03 : 597.37 = 285.61 : x
  2. Step 2: Convert to fraction form
    433.03/597.37 = 285.61/x
  3. Step 3: Cross multiply
    433.03x = 597.37 × 285.61
  4. Step 4: Simplify right side
    433.03x = 170,614.85
  5. Step 5: Solve for x
    x = 170,614.85/433.03
  6. Step 6: Final answer
    x = 394.00

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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.