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Finding the Fourth Proportional to 505.80, 754.94 and 493.51

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Solution

The fourth proportional to 505.80, 754.94 and 493.51 is: 736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.80 : 754.94 = 493.51 : x
  2. Step 2: Convert to fraction form
    505.80/754.94 = 493.51/x
  3. Step 3: Cross multiply
    505.80x = 754.94 × 493.51
  4. Step 4: Simplify right side
    505.80x = 372,570.44
  5. Step 5: Solve for x
    x = 372,570.44/505.80
  6. Step 6: Final answer
    x = 736.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.