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Finding the Fourth Proportional to 433.44, 597.62 and 354.46

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Solution

The fourth proportional to 433.44, 597.62 and 354.46 is: 488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.44 : 597.62 = 354.46 : x
  2. Step 2: Convert to fraction form
    433.44/597.62 = 354.46/x
  3. Step 3: Cross multiply
    433.44x = 597.62 × 354.46
  4. Step 4: Simplify right side
    433.44x = 211,832.39
  5. Step 5: Solve for x
    x = 211,832.39/433.44
  6. Step 6: Final answer
    x = 488.72

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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.