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Finding the Fourth Proportional to 380.37, 569.52 and 289.47

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Solution

The fourth proportional to 380.37, 569.52 and 289.47 is: 433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.37 : 569.52 = 289.47 : x
  2. Step 2: Convert to fraction form
    380.37/569.52 = 289.47/x
  3. Step 3: Cross multiply
    380.37x = 569.52 × 289.47
  4. Step 4: Simplify right side
    380.37x = 164,858.95
  5. Step 5: Solve for x
    x = 164,858.95/380.37
  6. Step 6: Final answer
    x = 433.42

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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.