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Finding the Fourth Proportional to 665.74, 918.25 and 455.55

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Solution

The fourth proportional to 665.74, 918.25 and 455.55 is: 628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.74 : 918.25 = 455.55 : x
  2. Step 2: Convert to fraction form
    665.74/918.25 = 455.55/x
  3. Step 3: Cross multiply
    665.74x = 918.25 × 455.55
  4. Step 4: Simplify right side
    665.74x = 418,308.79
  5. Step 5: Solve for x
    x = 418,308.79/665.74
  6. Step 6: Final answer
    x = 628.34

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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.