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Finding the Fourth Proportional to 433.16, 596.40 and 367.52

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Solution

The fourth proportional to 433.16, 596.40 and 367.52 is: 506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 596.40 = 367.52 : x
  2. Step 2: Convert to fraction form
    433.16/596.40 = 367.52/x
  3. Step 3: Cross multiply
    433.16x = 596.40 × 367.52
  4. Step 4: Simplify right side
    433.16x = 219,188.93
  5. Step 5: Solve for x
    x = 219,188.93/433.16
  6. Step 6: Final answer
    x = 506.02

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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.