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Finding the Fourth Proportional to 491.28, 740.31 and 406.53

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Solution

The fourth proportional to 491.28, 740.31 and 406.53 is: 612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.28 : 740.31 = 406.53 : x
  2. Step 2: Convert to fraction form
    491.28/740.31 = 406.53/x
  3. Step 3: Cross multiply
    491.28x = 740.31 × 406.53
  4. Step 4: Simplify right side
    491.28x = 300,954.62
  5. Step 5: Solve for x
    x = 300,954.62/491.28
  6. Step 6: Final answer
    x = 612.59

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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.