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Finding the Fourth Proportional to 460.64, 634.29 and 386.66

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Solution

The fourth proportional to 460.64, 634.29 and 386.66 is: 532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.64 : 634.29 = 386.66 : x
  2. Step 2: Convert to fraction form
    460.64/634.29 = 386.66/x
  3. Step 3: Cross multiply
    460.64x = 634.29 × 386.66
  4. Step 4: Simplify right side
    460.64x = 245,254.57
  5. Step 5: Solve for x
    x = 245,254.57/460.64
  6. Step 6: Final answer
    x = 532.42

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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.