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Finding the Fourth Proportional to 416.64, 573.39 and 369.84

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Solution

The fourth proportional to 416.64, 573.39 and 369.84 is: 508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.64 : 573.39 = 369.84 : x
  2. Step 2: Convert to fraction form
    416.64/573.39 = 369.84/x
  3. Step 3: Cross multiply
    416.64x = 573.39 × 369.84
  4. Step 4: Simplify right side
    416.64x = 212,062.56
  5. Step 5: Solve for x
    x = 212,062.56/416.64
  6. Step 6: Final answer
    x = 508.98

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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.