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Finding the Fourth Proportional to 283, 389.64 and 270

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Solution

The fourth proportional to 283, 389.64 and 270 is: 371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283 : 389.64 = 270 : x
  2. Step 2: Convert to fraction form
    283/389.64 = 270/x
  3. Step 3: Cross multiply
    283x = 389.64 × 270
  4. Step 4: Simplify right side
    283x = 105,202.80
  5. Step 5: Solve for x
    x = 105,202.80/283
  6. Step 6: Final answer
    x = 371.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.