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Finding the Fourth Proportional to 380.17, 569.58 and 257.99

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Solution

The fourth proportional to 380.17, 569.58 and 257.99 is: 386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.17 : 569.58 = 257.99 : x
  2. Step 2: Convert to fraction form
    380.17/569.58 = 257.99/x
  3. Step 3: Cross multiply
    380.17x = 569.58 × 257.99
  4. Step 4: Simplify right side
    380.17x = 146,947.30
  5. Step 5: Solve for x
    x = 146,947.30/380.17
  6. Step 6: Final answer
    x = 386.53

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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.