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Finding the Fourth Proportional to 290.59, 435.70 and 162.43

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Solution

The fourth proportional to 290.59, 435.70 and 162.43 is: 243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.59 : 435.70 = 162.43 : x
  2. Step 2: Convert to fraction form
    290.59/435.70 = 162.43/x
  3. Step 3: Cross multiply
    290.59x = 435.70 × 162.43
  4. Step 4: Simplify right side
    290.59x = 70,770.75
  5. Step 5: Solve for x
    x = 70,770.75/290.59
  6. Step 6: Final answer
    x = 243.54

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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.