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Finding the Fourth Proportional to 289.58, 399.48 and 202.28

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Solution

The fourth proportional to 289.58, 399.48 and 202.28 is: 279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.58 : 399.48 = 202.28 : x
  2. Step 2: Convert to fraction form
    289.58/399.48 = 202.28/x
  3. Step 3: Cross multiply
    289.58x = 399.48 × 202.28
  4. Step 4: Simplify right side
    289.58x = 80,806.81
  5. Step 5: Solve for x
    x = 80,806.81/289.58
  6. Step 6: Final answer
    x = 279.05

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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.