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Finding the Fourth Proportional to 552.43, 829.30 and 436.96

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Solution

The fourth proportional to 552.43, 829.30 and 436.96 is: 655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.43 : 829.30 = 436.96 : x
  2. Step 2: Convert to fraction form
    552.43/829.30 = 436.96/x
  3. Step 3: Cross multiply
    552.43x = 829.30 × 436.96
  4. Step 4: Simplify right side
    552.43x = 362,370.93
  5. Step 5: Solve for x
    x = 362,370.93/552.43
  6. Step 6: Final answer
    x = 655.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.