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Finding the Fourth Proportional to 380.11, 569.25 and 258.01

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Solution

The fourth proportional to 380.11, 569.25 and 258.01 is: 386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.11 : 569.25 = 258.01 : x
  2. Step 2: Convert to fraction form
    380.11/569.25 = 258.01/x
  3. Step 3: Cross multiply
    380.11x = 569.25 × 258.01
  4. Step 4: Simplify right side
    380.11x = 146,872.19
  5. Step 5: Solve for x
    x = 146,872.19/380.11
  6. Step 6: Final answer
    x = 386.39

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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.