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Finding the Fourth Proportional to 290.69, 436.04 and 98.31

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Solution

The fourth proportional to 290.69, 436.04 and 98.31 is: 147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.69 : 436.04 = 98.31 : x
  2. Step 2: Convert to fraction form
    290.69/436.04 = 98.31/x
  3. Step 3: Cross multiply
    290.69x = 436.04 × 98.31
  4. Step 4: Simplify right side
    290.69x = 42,867.09
  5. Step 5: Solve for x
    x = 42,867.09/290.69
  6. Step 6: Final answer
    x = 147.47

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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.