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Finding the Fourth Proportional to 287.45, 431.14 and 270.53

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Solution

The fourth proportional to 287.45, 431.14 and 270.53 is: 405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.45 : 431.14 = 270.53 : x
  2. Step 2: Convert to fraction form
    287.45/431.14 = 270.53/x
  3. Step 3: Cross multiply
    287.45x = 431.14 × 270.53
  4. Step 4: Simplify right side
    287.45x = 116,636.30
  5. Step 5: Solve for x
    x = 116,636.30/287.45
  6. Step 6: Final answer
    x = 405.76

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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.