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Finding the Fourth Proportional to 468.45, 646.19 and 302.61

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Solution

The fourth proportional to 468.45, 646.19 and 302.61 is: 417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.45 : 646.19 = 302.61 : x
  2. Step 2: Convert to fraction form
    468.45/646.19 = 302.61/x
  3. Step 3: Cross multiply
    468.45x = 646.19 × 302.61
  4. Step 4: Simplify right side
    468.45x = 195,542.04
  5. Step 5: Solve for x
    x = 195,542.04/468.45
  6. Step 6: Final answer
    x = 417.42

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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.