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Finding the Fourth Proportional to 302.90, 453.87 and 270.99

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Solution

The fourth proportional to 302.90, 453.87 and 270.99 is: 406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.90 : 453.87 = 270.99 : x
  2. Step 2: Convert to fraction form
    302.90/453.87 = 270.99/x
  3. Step 3: Cross multiply
    302.90x = 453.87 × 270.99
  4. Step 4: Simplify right side
    302.90x = 122,994.23
  5. Step 5: Solve for x
    x = 122,994.23/302.90
  6. Step 6: Final answer
    x = 406.06

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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.