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Finding the Fourth Proportional to 482.57, 665.93 and 261.51

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Solution

The fourth proportional to 482.57, 665.93 and 261.51 is: 360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.57 : 665.93 = 261.51 : x
  2. Step 2: Convert to fraction form
    482.57/665.93 = 261.51/x
  3. Step 3: Cross multiply
    482.57x = 665.93 × 261.51
  4. Step 4: Simplify right side
    482.57x = 174,146.05
  5. Step 5: Solve for x
    x = 174,146.05/482.57
  6. Step 6: Final answer
    x = 360.88

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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.