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Finding the Fourth Proportional to 380.10, 569.37 and 282.70

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Solution

The fourth proportional to 380.10, 569.37 and 282.70 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.10 : 569.37 = 282.70 : x
  2. Step 2: Convert to fraction form
    380.10/569.37 = 282.70/x
  3. Step 3: Cross multiply
    380.10x = 569.37 × 282.70
  4. Step 4: Simplify right side
    380.10x = 160,960.90
  5. Step 5: Solve for x
    x = 160,960.90/380.10
  6. Step 6: Final answer
    x = 423.48

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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.