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Finding the Fourth Proportional to 328.06, 452.19 and 254.35

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Solution

The fourth proportional to 328.06, 452.19 and 254.35 is: 350.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.06 : 452.19 = 254.35 : x
  2. Step 2: Convert to fraction form
    328.06/452.19 = 254.35/x
  3. Step 3: Cross multiply
    328.06x = 452.19 × 254.35
  4. Step 4: Simplify right side
    328.06x = 115,014.53
  5. Step 5: Solve for x
    x = 115,014.53/328.06
  6. Step 6: Final answer
    x = 350.59

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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.