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Finding the Fourth Proportional to 380.80, 569.40 and 283.60

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Solution

The fourth proportional to 380.80, 569.40 and 283.60 is: 424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.80 : 569.40 = 283.60 : x
  2. Step 2: Convert to fraction form
    380.80/569.40 = 283.60/x
  3. Step 3: Cross multiply
    380.80x = 569.40 × 283.60
  4. Step 4: Simplify right side
    380.80x = 161,481.84
  5. Step 5: Solve for x
    x = 161,481.84/380.80
  6. Step 6: Final answer
    x = 424.06

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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.