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Finding the Fourth Proportional to 289.41, 397.05 and 275.64

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Solution

The fourth proportional to 289.41, 397.05 and 275.64 is: 378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.41 : 397.05 = 275.64 : x
  2. Step 2: Convert to fraction form
    289.41/397.05 = 275.64/x
  3. Step 3: Cross multiply
    289.41x = 397.05 × 275.64
  4. Step 4: Simplify right side
    289.41x = 109,442.86
  5. Step 5: Solve for x
    x = 109,442.86/289.41
  6. Step 6: Final answer
    x = 378.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.