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Finding the Fourth Proportional to 482.63, 666.04 and 261.59

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Solution

The fourth proportional to 482.63, 666.04 and 261.59 is: 360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.63 : 666.04 = 261.59 : x
  2. Step 2: Convert to fraction form
    482.63/666.04 = 261.59/x
  3. Step 3: Cross multiply
    482.63x = 666.04 × 261.59
  4. Step 4: Simplify right side
    482.63x = 174,224.93
  5. Step 5: Solve for x
    x = 174,224.93/482.63
  6. Step 6: Final answer
    x = 360.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.