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Finding the Fourth Proportional to 368.28, 551.24 and 258.02

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Solution

The fourth proportional to 368.28, 551.24 and 258.02 is: 386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.28 : 551.24 = 258.02 : x
  2. Step 2: Convert to fraction form
    368.28/551.24 = 258.02/x
  3. Step 3: Cross multiply
    368.28x = 551.24 × 258.02
  4. Step 4: Simplify right side
    368.28x = 142,230.94
  5. Step 5: Solve for x
    x = 142,230.94/368.28
  6. Step 6: Final answer
    x = 386.20

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Why These Related Problems?

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