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Finding the Fourth Proportional to 433.44, 597.60 and 345.60

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Solution

The fourth proportional to 433.44, 597.60 and 345.60 is: 476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.44 : 597.60 = 345.60 : x
  2. Step 2: Convert to fraction form
    433.44/597.60 = 345.60/x
  3. Step 3: Cross multiply
    433.44x = 597.60 × 345.60
  4. Step 4: Simplify right side
    433.44x = 206,530.56
  5. Step 5: Solve for x
    x = 206,530.56/433.44
  6. Step 6: Final answer
    x = 476.49

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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.