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Finding the Fourth Proportional to 855.69, 1,282.43 and 368.25

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Solution

The fourth proportional to 855.69, 1,282.43 and 368.25 is: 551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.69 : 1,282.43 = 368.25 : x
  2. Step 2: Convert to fraction form
    855.69/1,282.43 = 368.25/x
  3. Step 3: Cross multiply
    855.69x = 1,282.43 × 368.25
  4. Step 4: Simplify right side
    855.69x = 472,253.01
  5. Step 5: Solve for x
    x = 472,253.01/855.69
  6. Step 6: Final answer
    x = 551.90

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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.