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Finding the Fourth Proportional to 433.14, 646.77 and 340.80

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Solution

The fourth proportional to 433.14, 646.77 and 340.80 is: 508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.14 : 646.77 = 340.80 : x
  2. Step 2: Convert to fraction form
    433.14/646.77 = 340.80/x
  3. Step 3: Cross multiply
    433.14x = 646.77 × 340.80
  4. Step 4: Simplify right side
    433.14x = 220,419.22
  5. Step 5: Solve for x
    x = 220,419.22/433.14
  6. Step 6: Final answer
    x = 508.89

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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.