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Finding the Fourth Proportional to 295.96, 410.08 and 289.24

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Solution

The fourth proportional to 295.96, 410.08 and 289.24 is: 400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.96 : 410.08 = 289.24 : x
  2. Step 2: Convert to fraction form
    295.96/410.08 = 289.24/x
  3. Step 3: Cross multiply
    295.96x = 410.08 × 289.24
  4. Step 4: Simplify right side
    295.96x = 118,611.54
  5. Step 5: Solve for x
    x = 118,611.54/295.96
  6. Step 6: Final answer
    x = 400.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.