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Finding the Fourth Proportional to 323.74, 484.69 and 258.12

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Solution

The fourth proportional to 323.74, 484.69 and 258.12 is: 386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.74 : 484.69 = 258.12 : x
  2. Step 2: Convert to fraction form
    323.74/484.69 = 258.12/x
  3. Step 3: Cross multiply
    323.74x = 484.69 × 258.12
  4. Step 4: Simplify right side
    323.74x = 125,108.18
  5. Step 5: Solve for x
    x = 125,108.18/323.74
  6. Step 6: Final answer
    x = 386.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.