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Finding the Fourth Proportional to 344.52, 475.02 and 322.20

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Solution

The fourth proportional to 344.52, 475.02 and 322.20 is: 444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.52 : 475.02 = 322.20 : x
  2. Step 2: Convert to fraction form
    344.52/475.02 = 322.20/x
  3. Step 3: Cross multiply
    344.52x = 475.02 × 322.20
  4. Step 4: Simplify right side
    344.52x = 153,051.44
  5. Step 5: Solve for x
    x = 153,051.44/344.52
  6. Step 6: Final answer
    x = 444.25

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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.