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Finding the Fourth Proportional to 497.09, 685.40 and 438.64

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Solution

The fourth proportional to 497.09, 685.40 and 438.64 is: 604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.09 : 685.40 = 438.64 : x
  2. Step 2: Convert to fraction form
    497.09/685.40 = 438.64/x
  3. Step 3: Cross multiply
    497.09x = 685.40 × 438.64
  4. Step 4: Simplify right side
    497.09x = 300,639.95
  5. Step 5: Solve for x
    x = 300,639.95/497.09
  6. Step 6: Final answer
    x = 604.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.