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Finding the Fourth Proportional to 419.90, 580.92 and 368.30

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Solution

The fourth proportional to 419.90, 580.92 and 368.30 is: 509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.90 : 580.92 = 368.30 : x
  2. Step 2: Convert to fraction form
    419.90/580.92 = 368.30/x
  3. Step 3: Cross multiply
    419.90x = 580.92 × 368.30
  4. Step 4: Simplify right side
    419.90x = 213,952.84
  5. Step 5: Solve for x
    x = 213,952.84/419.90
  6. Step 6: Final answer
    x = 509.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.