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Finding the Fourth Proportional to 380.50, 569.84 and 300.31

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Solution

The fourth proportional to 380.50, 569.84 and 300.31 is: 449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.50 : 569.84 = 300.31 : x
  2. Step 2: Convert to fraction form
    380.50/569.84 = 300.31/x
  3. Step 3: Cross multiply
    380.50x = 569.84 × 300.31
  4. Step 4: Simplify right side
    380.50x = 171,125.72
  5. Step 5: Solve for x
    x = 171,125.72/380.50
  6. Step 6: Final answer
    x = 449.74

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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.