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Finding the Fourth Proportional to 302.40, 414.12 and 302.40

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Solution

The fourth proportional to 302.40, 414.12 and 302.40 is: 414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.40 : 414.12 = 302.40 : x
  2. Step 2: Convert to fraction form
    302.40/414.12 = 302.40/x
  3. Step 3: Cross multiply
    302.40x = 414.12 × 302.40
  4. Step 4: Simplify right side
    302.40x = 125,229.89
  5. Step 5: Solve for x
    x = 125,229.89/302.40
  6. Step 6: Final answer
    x = 414.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.