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Finding the Fourth Proportional to 289.60, 433.60 and 275.20

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Solution

The fourth proportional to 289.60, 433.60 and 275.20 is: 412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.60 : 433.60 = 275.20 : x
  2. Step 2: Convert to fraction form
    289.60/433.60 = 275.20/x
  3. Step 3: Cross multiply
    289.60x = 433.60 × 275.20
  4. Step 4: Simplify right side
    289.60x = 119,326.72
  5. Step 5: Solve for x
    x = 119,326.72/289.60
  6. Step 6: Final answer
    x = 412.04

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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.