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Finding the Fourth Proportional to 445.04, 666.64 and 261.87

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Solution

The fourth proportional to 445.04, 666.64 and 261.87 is: 392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.04 : 666.64 = 261.87 : x
  2. Step 2: Convert to fraction form
    445.04/666.64 = 261.87/x
  3. Step 3: Cross multiply
    445.04x = 666.64 × 261.87
  4. Step 4: Simplify right side
    445.04x = 174,573.02
  5. Step 5: Solve for x
    x = 174,573.02/445.04
  6. Step 6: Final answer
    x = 392.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.