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Finding the Fourth Proportional to 380.23, 569.57 and 282.83

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Solution

The fourth proportional to 380.23, 569.57 and 282.83 is: 423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.23 : 569.57 = 282.83 : x
  2. Step 2: Convert to fraction form
    380.23/569.57 = 282.83/x
  3. Step 3: Cross multiply
    380.23x = 569.57 × 282.83
  4. Step 4: Simplify right side
    380.23x = 161,087.22
  5. Step 5: Solve for x
    x = 161,087.22/380.23
  6. Step 6: Final answer
    x = 423.66

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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.