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Finding the Fourth Proportional to 377.90, 569.67 and 352.80

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Solution

The fourth proportional to 377.90, 569.67 and 352.80 is: 531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.90 : 569.67 = 352.80 : x
  2. Step 2: Convert to fraction form
    377.90/569.67 = 352.80/x
  3. Step 3: Cross multiply
    377.90x = 569.67 × 352.80
  4. Step 4: Simplify right side
    377.90x = 200,979.58
  5. Step 5: Solve for x
    x = 200,979.58/377.90
  6. Step 6: Final answer
    x = 531.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.