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Finding the Fourth Proportional to 366.54, 551.99 and 319.02

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Solution

The fourth proportional to 366.54, 551.99 and 319.02 is: 480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.54 : 551.99 = 319.02 : x
  2. Step 2: Convert to fraction form
    366.54/551.99 = 319.02/x
  3. Step 3: Cross multiply
    366.54x = 551.99 × 319.02
  4. Step 4: Simplify right side
    366.54x = 176,094.25
  5. Step 5: Solve for x
    x = 176,094.25/366.54
  6. Step 6: Final answer
    x = 480.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.