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Finding the Fourth Proportional to 665.34, 998.04 and 275.25

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Solution

The fourth proportional to 665.34, 998.04 and 275.25 is: 412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.34 : 998.04 = 275.25 : x
  2. Step 2: Convert to fraction form
    665.34/998.04 = 275.25/x
  3. Step 3: Cross multiply
    665.34x = 998.04 × 275.25
  4. Step 4: Simplify right side
    665.34x = 274,710.51
  5. Step 5: Solve for x
    x = 274,710.51/665.34
  6. Step 6: Final answer
    x = 412.89

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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.