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Finding the Fourth Proportional to 433.44, 646.56 and 419.04

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Solution

The fourth proportional to 433.44, 646.56 and 419.04 is: 625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.44 : 646.56 = 419.04 : x
  2. Step 2: Convert to fraction form
    433.44/646.56 = 419.04/x
  3. Step 3: Cross multiply
    433.44x = 646.56 × 419.04
  4. Step 4: Simplify right side
    433.44x = 270,934.50
  5. Step 5: Solve for x
    x = 270,934.50/433.44
  6. Step 6: Final answer
    x = 625.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.