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Finding the Fourth Proportional to 270, 405 and 77.63

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Solution

The fourth proportional to 270, 405 and 77.63 is: 116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 405 = 77.63 : x
  2. Step 2: Convert to fraction form
    270/405 = 77.63/x
  3. Step 3: Cross multiply
    270x = 405 × 77.63
  4. Step 4: Simplify right side
    270x = 31,438.13
  5. Step 5: Solve for x
    x = 31,438.13/270
  6. Step 6: Final answer
    x = 116.44

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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.