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Finding the Fourth Proportional to 497, 685.90 and 290.04

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Solution

The fourth proportional to 497, 685.90 and 290.04 is: 400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497 : 685.90 = 290.04 : x
  2. Step 2: Convert to fraction form
    497/685.90 = 290.04/x
  3. Step 3: Cross multiply
    497x = 685.90 × 290.04
  4. Step 4: Simplify right side
    497x = 198,938.44
  5. Step 5: Solve for x
    x = 198,938.44/497
  6. Step 6: Final answer
    x = 400.28

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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.