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Finding the Fourth Proportional to 380.65, 567.25 and 370.09

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Solution

The fourth proportional to 380.65, 567.25 and 370.09 is: 551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.65 : 567.25 = 370.09 : x
  2. Step 2: Convert to fraction form
    380.65/567.25 = 370.09/x
  3. Step 3: Cross multiply
    380.65x = 567.25 × 370.09
  4. Step 4: Simplify right side
    380.65x = 209,933.55
  5. Step 5: Solve for x
    x = 209,933.55/380.65
  6. Step 6: Final answer
    x = 551.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.