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Finding the Fourth Proportional to 415.28, 573.33 and 369.15

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Solution

The fourth proportional to 415.28, 573.33 and 369.15 is: 509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.28 : 573.33 = 369.15 : x
  2. Step 2: Convert to fraction form
    415.28/573.33 = 369.15/x
  3. Step 3: Cross multiply
    415.28x = 573.33 × 369.15
  4. Step 4: Simplify right side
    415.28x = 211,643.54
  5. Step 5: Solve for x
    x = 211,643.54/415.28
  6. Step 6: Final answer
    x = 509.64

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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.