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Finding the Fourth Proportional to 460.44, 685.56 and 458.40

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Solution

The fourth proportional to 460.44, 685.56 and 458.40 is: 682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.44 : 685.56 = 458.40 : x
  2. Step 2: Convert to fraction form
    460.44/685.56 = 458.40/x
  3. Step 3: Cross multiply
    460.44x = 685.56 × 458.40
  4. Step 4: Simplify right side
    460.44x = 314,260.70
  5. Step 5: Solve for x
    x = 314,260.70/460.44
  6. Step 6: Final answer
    x = 682.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.