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Finding the Fourth Proportional to 290.91, 436.37 and 71.53

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Solution

The fourth proportional to 290.91, 436.37 and 71.53 is: 107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.91 : 436.37 = 71.53 : x
  2. Step 2: Convert to fraction form
    290.91/436.37 = 71.53/x
  3. Step 3: Cross multiply
    290.91x = 436.37 × 71.53
  4. Step 4: Simplify right side
    290.91x = 31,214.55
  5. Step 5: Solve for x
    x = 31,214.55/290.91
  6. Step 6: Final answer
    x = 107.30

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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.