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Finding the Fourth Proportional to 342.06, 469.22 and 339.14

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Solution

The fourth proportional to 342.06, 469.22 and 339.14 is: 465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.06 : 469.22 = 339.14 : x
  2. Step 2: Convert to fraction form
    342.06/469.22 = 339.14/x
  3. Step 3: Cross multiply
    342.06x = 469.22 × 339.14
  4. Step 4: Simplify right side
    342.06x = 159,131.27
  5. Step 5: Solve for x
    x = 159,131.27/342.06
  6. Step 6: Final answer
    x = 465.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.