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Finding the Fourth Proportional to 302.04, 414.54 and 302.04

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Solution

The fourth proportional to 302.04, 414.54 and 302.04 is: 414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.04 : 414.54 = 302.04 : x
  2. Step 2: Convert to fraction form
    302.04/414.54 = 302.04/x
  3. Step 3: Cross multiply
    302.04x = 414.54 × 302.04
  4. Step 4: Simplify right side
    302.04x = 125,207.66
  5. Step 5: Solve for x
    x = 125,207.66/302.04
  6. Step 6: Final answer
    x = 414.54

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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.