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Finding the Fourth Proportional to 380.09, 572.96 and 355

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Solution

The fourth proportional to 380.09, 572.96 and 355 is: 535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.09 : 572.96 = 355 : x
  2. Step 2: Convert to fraction form
    380.09/572.96 = 355/x
  3. Step 3: Cross multiply
    380.09x = 572.96 × 355
  4. Step 4: Simplify right side
    380.09x = 203,400.80
  5. Step 5: Solve for x
    x = 203,400.80/380.09
  6. Step 6: Final answer
    x = 535.14

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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.