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Finding the Fourth Proportional to 436.68, 654.57 and 328.14

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Solution

The fourth proportional to 436.68, 654.57 and 328.14 is: 491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.68 : 654.57 = 328.14 : x
  2. Step 2: Convert to fraction form
    436.68/654.57 = 328.14/x
  3. Step 3: Cross multiply
    436.68x = 654.57 × 328.14
  4. Step 4: Simplify right side
    436.68x = 214,790.60
  5. Step 5: Solve for x
    x = 214,790.60/436.68
  6. Step 6: Final answer
    x = 491.87

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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.