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Finding the Fourth Proportional to 335.66, 503.49 and 289.87

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Solution

The fourth proportional to 335.66, 503.49 and 289.87 is: 434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.66 : 503.49 = 289.87 : x
  2. Step 2: Convert to fraction form
    335.66/503.49 = 289.87/x
  3. Step 3: Cross multiply
    335.66x = 503.49 × 289.87
  4. Step 4: Simplify right side
    335.66x = 145,947.08
  5. Step 5: Solve for x
    x = 145,947.08/335.66
  6. Step 6: Final answer
    x = 434.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.