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Finding the Fourth Proportional to 500.15, 690.26 and 290.34

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Solution

The fourth proportional to 500.15, 690.26 and 290.34 is: 400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.15 : 690.26 = 290.34 : x
  2. Step 2: Convert to fraction form
    500.15/690.26 = 290.34/x
  3. Step 3: Cross multiply
    500.15x = 690.26 × 290.34
  4. Step 4: Simplify right side
    500.15x = 200,408.64
  5. Step 5: Solve for x
    x = 200,408.64/500.15
  6. Step 6: Final answer
    x = 400.70

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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.