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Finding the Fourth Proportional to 468.29, 646.08 and 302.62

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Solution

The fourth proportional to 468.29, 646.08 and 302.62 is: 417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.29 : 646.08 = 302.62 : x
  2. Step 2: Convert to fraction form
    468.29/646.08 = 302.62/x
  3. Step 3: Cross multiply
    468.29x = 646.08 × 302.62
  4. Step 4: Simplify right side
    468.29x = 195,513.50
  5. Step 5: Solve for x
    x = 195,513.50/468.29
  6. Step 6: Final answer
    x = 417.51

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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.