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Finding the Fourth Proportional to 552.48, 762.26 and 342.32

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Solution

The fourth proportional to 552.48, 762.26 and 342.32 is: 472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.48 : 762.26 = 342.32 : x
  2. Step 2: Convert to fraction form
    552.48/762.26 = 342.32/x
  3. Step 3: Cross multiply
    552.48x = 762.26 × 342.32
  4. Step 4: Simplify right side
    552.48x = 260,936.84
  5. Step 5: Solve for x
    x = 260,936.84/552.48
  6. Step 6: Final answer
    x = 472.30

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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.