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Finding the Fourth Proportional to 380.97, 569.90 and 258.86

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Solution

The fourth proportional to 380.97, 569.90 and 258.86 is: 387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.97 : 569.90 = 258.86 : x
  2. Step 2: Convert to fraction form
    380.97/569.90 = 258.86/x
  3. Step 3: Cross multiply
    380.97x = 569.90 × 258.86
  4. Step 4: Simplify right side
    380.97x = 147,526.39
  5. Step 5: Solve for x
    x = 147,526.39/380.97
  6. Step 6: Final answer
    x = 387.24

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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.