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Finding the Fourth Proportional to 468.05, 645.69 and 302.20

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Solution

The fourth proportional to 468.05, 645.69 and 302.20 is: 416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.05 : 645.69 = 302.20 : x
  2. Step 2: Convert to fraction form
    468.05/645.69 = 302.20/x
  3. Step 3: Cross multiply
    468.05x = 645.69 × 302.20
  4. Step 4: Simplify right side
    468.05x = 195,124.29
  5. Step 5: Solve for x
    x = 195,124.29/468.05
  6. Step 6: Final answer
    x = 416.89

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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.