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Finding the Fourth Proportional to 433.09, 596.98 and 397.34

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Solution

The fourth proportional to 433.09, 596.98 and 397.34 is: 547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.09 : 596.98 = 397.34 : x
  2. Step 2: Convert to fraction form
    433.09/596.98 = 397.34/x
  3. Step 3: Cross multiply
    433.09x = 596.98 × 397.34
  4. Step 4: Simplify right side
    433.09x = 237,200.05
  5. Step 5: Solve for x
    x = 237,200.05/433.09
  6. Step 6: Final answer
    x = 547.70

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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.