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Finding the Fourth Proportional to 436.30, 654.65 and 162.52

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Solution

The fourth proportional to 436.30, 654.65 and 162.52 is: 243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.30 : 654.65 = 162.52 : x
  2. Step 2: Convert to fraction form
    436.30/654.65 = 162.52/x
  3. Step 3: Cross multiply
    436.30x = 654.65 × 162.52
  4. Step 4: Simplify right side
    436.30x = 106,393.72
  5. Step 5: Solve for x
    x = 106,393.72/436.30
  6. Step 6: Final answer
    x = 243.85

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