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Finding the Fourth Proportional to 500.27, 690.13 and 344.75

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Solution

The fourth proportional to 500.27, 690.13 and 344.75 is: 475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.27 : 690.13 = 344.75 : x
  2. Step 2: Convert to fraction form
    500.27/690.13 = 344.75/x
  3. Step 3: Cross multiply
    500.27x = 690.13 × 344.75
  4. Step 4: Simplify right side
    500.27x = 237,922.32
  5. Step 5: Solve for x
    x = 237,922.32/500.27
  6. Step 6: Final answer
    x = 475.59

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1.5x scale

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.