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Finding the Fourth Proportional to 468.40, 646.41 and 302.62

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Solution

The fourth proportional to 468.40, 646.41 and 302.62 is: 417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.40 : 646.41 = 302.62 : x
  2. Step 2: Convert to fraction form
    468.40/646.41 = 302.62/x
  3. Step 3: Cross multiply
    468.40x = 646.41 × 302.62
  4. Step 4: Simplify right side
    468.40x = 195,616.59
  5. Step 5: Solve for x
    x = 195,616.59/468.40
  6. Step 6: Final answer
    x = 417.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.