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Finding the Fourth Proportional to 468.41, 646.38 and 302.71

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Solution

The fourth proportional to 468.41, 646.38 and 302.71 is: 417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.41 : 646.38 = 302.71 : x
  2. Step 2: Convert to fraction form
    468.41/646.38 = 302.71/x
  3. Step 3: Cross multiply
    468.41x = 646.38 × 302.71
  4. Step 4: Simplify right side
    468.41x = 195,667.10
  5. Step 5: Solve for x
    x = 195,667.10/468.41
  6. Step 6: Final answer
    x = 417.73

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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.