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Finding the Fourth Proportional to 638.83, 955.24 and 455.66

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Solution

The fourth proportional to 638.83, 955.24 and 455.66 is: 681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.83 : 955.24 = 455.66 : x
  2. Step 2: Convert to fraction form
    638.83/955.24 = 455.66/x
  3. Step 3: Cross multiply
    638.83x = 955.24 × 455.66
  4. Step 4: Simplify right side
    638.83x = 435,258.74
  5. Step 5: Solve for x
    x = 435,258.74/638.83
  6. Step 6: Final answer
    x = 681.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.