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Finding the Fourth Proportional to 433.14, 596.34 and 345.66

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Solution

The fourth proportional to 433.14, 596.34 and 345.66 is: 475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.14 : 596.34 = 345.66 : x
  2. Step 2: Convert to fraction form
    433.14/596.34 = 345.66/x
  3. Step 3: Cross multiply
    433.14x = 596.34 × 345.66
  4. Step 4: Simplify right side
    433.14x = 206,130.88
  5. Step 5: Solve for x
    x = 206,130.88/433.14
  6. Step 6: Final answer
    x = 475.90

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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.