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Finding the Fourth Proportional to 362.90, 500.40 and 284.08

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Solution

The fourth proportional to 362.90, 500.40 and 284.08 is: 391.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.90 : 500.40 = 284.08 : x
  2. Step 2: Convert to fraction form
    362.90/500.40 = 284.08/x
  3. Step 3: Cross multiply
    362.90x = 500.40 × 284.08
  4. Step 4: Simplify right side
    362.90x = 142,153.45
  5. Step 5: Solve for x
    x = 142,153.45/362.90
  6. Step 6: Final answer
    x = 391.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.