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Finding the Fourth Proportional to 500.14, 690.20 and 290.33

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Solution

The fourth proportional to 500.14, 690.20 and 290.33 is: 400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.14 : 690.20 = 290.33 : x
  2. Step 2: Convert to fraction form
    500.14/690.20 = 290.33/x
  3. Step 3: Cross multiply
    500.14x = 690.20 × 290.33
  4. Step 4: Simplify right side
    500.14x = 200,390.06
  5. Step 5: Solve for x
    x = 200,390.06/500.14
  6. Step 6: Final answer
    x = 400.67

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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.