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Finding the Fourth Proportional to 289.51, 434.30 and 94.47

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Solution

The fourth proportional to 289.51, 434.30 and 94.47 is: 141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.51 : 434.30 = 94.47 : x
  2. Step 2: Convert to fraction form
    289.51/434.30 = 94.47/x
  3. Step 3: Cross multiply
    289.51x = 434.30 × 94.47
  4. Step 4: Simplify right side
    289.51x = 41,026.22
  5. Step 5: Solve for x
    x = 41,026.22/289.51
  6. Step 6: Final answer
    x = 141.71

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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.