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Finding the Fourth Proportional to 500.19, 690.23 and 290.35

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Solution

The fourth proportional to 500.19, 690.23 and 290.35 is: 400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.19 : 690.23 = 290.35 : x
  2. Step 2: Convert to fraction form
    500.19/690.23 = 290.35/x
  3. Step 3: Cross multiply
    500.19x = 690.23 × 290.35
  4. Step 4: Simplify right side
    500.19x = 200,409.87
  5. Step 5: Solve for x
    x = 200,409.87/500.19
  6. Step 6: Final answer
    x = 400.67

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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.