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Finding the Fourth Proportional to 369.40, 552.90 and 287.80

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Solution

The fourth proportional to 369.40, 552.90 and 287.80 is: 430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.40 : 552.90 = 287.80 : x
  2. Step 2: Convert to fraction form
    369.40/552.90 = 287.80/x
  3. Step 3: Cross multiply
    369.40x = 552.90 × 287.80
  4. Step 4: Simplify right side
    369.40x = 159,124.62
  5. Step 5: Solve for x
    x = 159,124.62/369.40
  6. Step 6: Final answer
    x = 430.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.