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Finding the Fourth Proportional to 433.59, 597.67 and 397.84

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Solution

The fourth proportional to 433.59, 597.67 and 397.84 is: 548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.59 : 597.67 = 397.84 : x
  2. Step 2: Convert to fraction form
    433.59/597.67 = 397.84/x
  3. Step 3: Cross multiply
    433.59x = 597.67 × 397.84
  4. Step 4: Simplify right side
    433.59x = 237,772.06
  5. Step 5: Solve for x
    x = 237,772.06/433.59
  6. Step 6: Final answer
    x = 548.38

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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.