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Finding the Fourth Proportional to 468.52, 646.43 and 302.47

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Solution

The fourth proportional to 468.52, 646.43 and 302.47 is: 417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.52 : 646.43 = 302.47 : x
  2. Step 2: Convert to fraction form
    468.52/646.43 = 302.47/x
  3. Step 3: Cross multiply
    468.52x = 646.43 × 302.47
  4. Step 4: Simplify right side
    468.52x = 195,524.26
  5. Step 5: Solve for x
    x = 195,524.26/468.52
  6. Step 6: Final answer
    x = 417.33

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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.