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Finding the Fourth Proportional to 368.21, 551.75 and 276.81

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Solution

The fourth proportional to 368.21, 551.75 and 276.81 is: 414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.21 : 551.75 = 276.81 : x
  2. Step 2: Convert to fraction form
    368.21/551.75 = 276.81/x
  3. Step 3: Cross multiply
    368.21x = 551.75 × 276.81
  4. Step 4: Simplify right side
    368.21x = 152,728.53
  5. Step 5: Solve for x
    x = 152,728.53/368.21
  6. Step 6: Final answer
    x = 414.79

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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.