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Finding the Fourth Proportional to 527.41, 786.62 and 494.33

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Solution

The fourth proportional to 527.41, 786.62 and 494.33 is: 737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.41 : 786.62 = 494.33 : x
  2. Step 2: Convert to fraction form
    527.41/786.62 = 494.33/x
  3. Step 3: Cross multiply
    527.41x = 786.62 × 494.33
  4. Step 4: Simplify right side
    527.41x = 388,847.39
  5. Step 5: Solve for x
    x = 388,847.39/527.41
  6. Step 6: Final answer
    x = 737.28

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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.