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Finding the Fourth Proportional to 433.49, 597.85 and 285.86

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Solution

The fourth proportional to 433.49, 597.85 and 285.86 is: 394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.49 : 597.85 = 285.86 : x
  2. Step 2: Convert to fraction form
    433.49/597.85 = 285.86/x
  3. Step 3: Cross multiply
    433.49x = 597.85 × 285.86
  4. Step 4: Simplify right side
    433.49x = 170,902.18
  5. Step 5: Solve for x
    x = 170,902.18/433.49
  6. Step 6: Final answer
    x = 394.25

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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.