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Finding the Fourth Proportional to 295.74, 409.73 and 289.98

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Solution

The fourth proportional to 295.74, 409.73 and 289.98 is: 401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.74 : 409.73 = 289.98 : x
  2. Step 2: Convert to fraction form
    295.74/409.73 = 289.98/x
  3. Step 3: Cross multiply
    295.74x = 409.73 × 289.98
  4. Step 4: Simplify right side
    295.74x = 118,812.06
  5. Step 5: Solve for x
    x = 118,812.06/295.74
  6. Step 6: Final answer
    x = 401.74

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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.