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Finding the Fourth Proportional to 290.04, 435.05 and 73.61

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Solution

The fourth proportional to 290.04, 435.05 and 73.61 is: 110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.04 : 435.05 = 73.61 : x
  2. Step 2: Convert to fraction form
    290.04/435.05 = 73.61/x
  3. Step 3: Cross multiply
    290.04x = 435.05 × 73.61
  4. Step 4: Simplify right side
    290.04x = 32,025.94
  5. Step 5: Solve for x
    x = 32,025.94/290.04
  6. Step 6: Final answer
    x = 110.42

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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.