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Finding the Fourth Proportional to 289.68, 434.52 and 257.48

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Solution

The fourth proportional to 289.68, 434.52 and 257.48 is: 386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.68 : 434.52 = 257.48 : x
  2. Step 2: Convert to fraction form
    289.68/434.52 = 257.48/x
  3. Step 3: Cross multiply
    289.68x = 434.52 × 257.48
  4. Step 4: Simplify right side
    289.68x = 111,880.21
  5. Step 5: Solve for x
    x = 111,880.21/289.68
  6. Step 6: Final answer
    x = 386.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.