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Finding the Fourth Proportional to 415.80, 572.40 and 367.20

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Solution

The fourth proportional to 415.80, 572.40 and 367.20 is: 505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.80 : 572.40 = 367.20 : x
  2. Step 2: Convert to fraction form
    415.80/572.40 = 367.20/x
  3. Step 3: Cross multiply
    415.80x = 572.40 × 367.20
  4. Step 4: Simplify right side
    415.80x = 210,185.28
  5. Step 5: Solve for x
    x = 210,185.28/415.80
  6. Step 6: Final answer
    x = 505.50

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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.