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Finding the Fourth Proportional to 380.09, 569.23 and 288.06

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Solution

The fourth proportional to 380.09, 569.23 and 288.06 is: 431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.09 : 569.23 = 288.06 : x
  2. Step 2: Convert to fraction form
    380.09/569.23 = 288.06/x
  3. Step 3: Cross multiply
    380.09x = 569.23 × 288.06
  4. Step 4: Simplify right side
    380.09x = 163,969.54
  5. Step 5: Solve for x
    x = 163,969.54/380.09
  6. Step 6: Final answer
    x = 431.39

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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.