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Finding the Fourth Proportional to 443.04, 610.16 and 433.48

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Solution

The fourth proportional to 443.04, 610.16 and 433.48 is: 596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.04 : 610.16 = 433.48 : x
  2. Step 2: Convert to fraction form
    443.04/610.16 = 433.48/x
  3. Step 3: Cross multiply
    443.04x = 610.16 × 433.48
  4. Step 4: Simplify right side
    443.04x = 264,492.16
  5. Step 5: Solve for x
    x = 264,492.16/443.04
  6. Step 6: Final answer
    x = 596.99

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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.