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Finding the Fourth Proportional to 552.94, 829.58 and 309.30

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Solution

The fourth proportional to 552.94, 829.58 and 309.30 is: 464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.94 : 829.58 = 309.30 : x
  2. Step 2: Convert to fraction form
    552.94/829.58 = 309.30/x
  3. Step 3: Cross multiply
    552.94x = 829.58 × 309.30
  4. Step 4: Simplify right side
    552.94x = 256,589.09
  5. Step 5: Solve for x
    x = 256,589.09/552.94
  6. Step 6: Final answer
    x = 464.05

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Why These Related Problems?

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