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Finding the Fourth Proportional to 436.82, 655.49 and 392.00

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Solution

The fourth proportional to 436.82, 655.49 and 392.00 is: 588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.82 : 655.49 = 392.00 : x
  2. Step 2: Convert to fraction form
    436.82/655.49 = 392.00/x
  3. Step 3: Cross multiply
    436.82x = 655.49 × 392.00
  4. Step 4: Simplify right side
    436.82x = 256,946.84
  5. Step 5: Solve for x
    x = 256,946.84/436.82
  6. Step 6: Final answer
    x = 588.23

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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.