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Finding the Fourth Proportional to 289.32, 397.20 and 245.64

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Solution

The fourth proportional to 289.32, 397.20 and 245.64 is: 337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.32 : 397.20 = 245.64 : x
  2. Step 2: Convert to fraction form
    289.32/397.20 = 245.64/x
  3. Step 3: Cross multiply
    289.32x = 397.20 × 245.64
  4. Step 4: Simplify right side
    289.32x = 97,568.21
  5. Step 5: Solve for x
    x = 97,568.21/289.32
  6. Step 6: Final answer
    x = 337.23

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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.