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Finding the Fourth Proportional to 302.48, 450.69 and 270.14

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Solution

The fourth proportional to 302.48, 450.69 and 270.14 is: 402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.48 : 450.69 = 270.14 : x
  2. Step 2: Convert to fraction form
    302.48/450.69 = 270.14/x
  3. Step 3: Cross multiply
    302.48x = 450.69 × 270.14
  4. Step 4: Simplify right side
    302.48x = 121,749.40
  5. Step 5: Solve for x
    x = 121,749.40/302.48
  6. Step 6: Final answer
    x = 402.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.