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Finding the Fourth Proportional to 540.80, 814.44 and 476.50

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Solution

The fourth proportional to 540.80, 814.44 and 476.50 is: 717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.80 : 814.44 = 476.50 : x
  2. Step 2: Convert to fraction form
    540.80/814.44 = 476.50/x
  3. Step 3: Cross multiply
    540.80x = 814.44 × 476.50
  4. Step 4: Simplify right side
    540.80x = 388,080.66
  5. Step 5: Solve for x
    x = 388,080.66/540.80
  6. Step 6: Final answer
    x = 717.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.