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Finding the Fourth Proportional to 482.94, 666.45 and 261.89

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Solution

The fourth proportional to 482.94, 666.45 and 261.89 is: 361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.94 : 666.45 = 261.89 : x
  2. Step 2: Convert to fraction form
    482.94/666.45 = 261.89/x
  3. Step 3: Cross multiply
    482.94x = 666.45 × 261.89
  4. Step 4: Simplify right side
    482.94x = 174,536.59
  5. Step 5: Solve for x
    x = 174,536.59/482.94
  6. Step 6: Final answer
    x = 361.40

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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.