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Finding the Fourth Proportional to 342.98, 511.22 and 323.01

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Solution

The fourth proportional to 342.98, 511.22 and 323.01 is: 481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.98 : 511.22 = 323.01 : x
  2. Step 2: Convert to fraction form
    342.98/511.22 = 323.01/x
  3. Step 3: Cross multiply
    342.98x = 511.22 × 323.01
  4. Step 4: Simplify right side
    342.98x = 165,130.51
  5. Step 5: Solve for x
    x = 165,130.51/342.98
  6. Step 6: Final answer
    x = 481.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.