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Finding the Fourth Proportional to 368.57, 551.78 and 290.99

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Solution

The fourth proportional to 368.57, 551.78 and 290.99 is: 435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.57 : 551.78 = 290.99 : x
  2. Step 2: Convert to fraction form
    368.57/551.78 = 290.99/x
  3. Step 3: Cross multiply
    368.57x = 551.78 × 290.99
  4. Step 4: Simplify right side
    368.57x = 160,561.01
  5. Step 5: Solve for x
    x = 160,561.01/368.57
  6. Step 6: Final answer
    x = 435.63

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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.