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Finding the Fourth Proportional to 497.26, 739.62 and 495.59

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Solution

The fourth proportional to 497.26, 739.62 and 495.59 is: 737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.26 : 739.62 = 495.59 : x
  2. Step 2: Convert to fraction form
    497.26/739.62 = 495.59/x
  3. Step 3: Cross multiply
    497.26x = 739.62 × 495.59
  4. Step 4: Simplify right side
    497.26x = 366,549.51
  5. Step 5: Solve for x
    x = 366,549.51/497.26
  6. Step 6: Final answer
    x = 737.15

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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.