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Finding the Fourth Proportional to 468.14, 645.75 and 302.09

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Solution

The fourth proportional to 468.14, 645.75 and 302.09 is: 416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.14 : 645.75 = 302.09 : x
  2. Step 2: Convert to fraction form
    468.14/645.75 = 302.09/x
  3. Step 3: Cross multiply
    468.14x = 645.75 × 302.09
  4. Step 4: Simplify right side
    468.14x = 195,074.62
  5. Step 5: Solve for x
    x = 195,074.62/468.14
  6. Step 6: Final answer
    x = 416.70

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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.