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Finding the Fourth Proportional to 500.40, 690.84 and 343.26

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Solution

The fourth proportional to 500.40, 690.84 and 343.26 is: 473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.40 : 690.84 = 343.26 : x
  2. Step 2: Convert to fraction form
    500.40/690.84 = 343.26/x
  3. Step 3: Cross multiply
    500.40x = 690.84 × 343.26
  4. Step 4: Simplify right side
    500.40x = 237,137.74
  5. Step 5: Solve for x
    x = 237,137.74/500.40
  6. Step 6: Final answer
    x = 473.90

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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.