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Finding the Fourth Proportional to 443.22, 610.29 and 433.64

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Solution

The fourth proportional to 443.22, 610.29 and 433.64 is: 597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.22 : 610.29 = 433.64 : x
  2. Step 2: Convert to fraction form
    443.22/610.29 = 433.64/x
  3. Step 3: Cross multiply
    443.22x = 610.29 × 433.64
  4. Step 4: Simplify right side
    443.22x = 264,643.10
  5. Step 5: Solve for x
    x = 264,643.10/443.22
  6. Step 6: Final answer
    x = 597.09

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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.