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Finding the Fourth Proportional to 460.28, 634.43 and 302.60

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Solution

The fourth proportional to 460.28, 634.43 and 302.60 is: 417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.28 : 634.43 = 302.60 : x
  2. Step 2: Convert to fraction form
    460.28/634.43 = 302.60/x
  3. Step 3: Cross multiply
    460.28x = 634.43 × 302.60
  4. Step 4: Simplify right side
    460.28x = 191,980.86
  5. Step 5: Solve for x
    x = 191,980.86/460.28
  6. Step 6: Final answer
    x = 417.09

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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.