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Finding the Fourth Proportional to 342.39, 511.08 and 321.06

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Solution

The fourth proportional to 342.39, 511.08 and 321.06 is: 479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.39 : 511.08 = 321.06 : x
  2. Step 2: Convert to fraction form
    342.39/511.08 = 321.06/x
  3. Step 3: Cross multiply
    342.39x = 511.08 × 321.06
  4. Step 4: Simplify right side
    342.39x = 164,087.34
  5. Step 5: Solve for x
    x = 164,087.34/342.39
  6. Step 6: Final answer
    x = 479.24

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