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Finding the Fourth Proportional to 495.40, 746.45 and 410.62

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Solution

The fourth proportional to 495.40, 746.45 and 410.62 is: 618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.40 : 746.45 = 410.62 : x
  2. Step 2: Convert to fraction form
    495.40/746.45 = 410.62/x
  3. Step 3: Cross multiply
    495.40x = 746.45 × 410.62
  4. Step 4: Simplify right side
    495.40x = 306,507.30
  5. Step 5: Solve for x
    x = 306,507.30/495.40
  6. Step 6: Final answer
    x = 618.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.