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Finding the Fourth Proportional to 500.38, 690.46 and 303.82

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Solution

The fourth proportional to 500.38, 690.46 and 303.82 is: 419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.38 : 690.46 = 303.82 : x
  2. Step 2: Convert to fraction form
    500.38/690.46 = 303.82/x
  3. Step 3: Cross multiply
    500.38x = 690.46 × 303.82
  4. Step 4: Simplify right side
    500.38x = 209,773.07
  5. Step 5: Solve for x
    x = 209,773.07/500.38
  6. Step 6: Final answer
    x = 419.23

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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.