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Finding the Fourth Proportional to 415.80, 573.12 and 398.16

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Solution

The fourth proportional to 415.80, 573.12 and 398.16 is: 548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.80 : 573.12 = 398.16 : x
  2. Step 2: Convert to fraction form
    415.80/573.12 = 398.16/x
  3. Step 3: Cross multiply
    415.80x = 573.12 × 398.16
  4. Step 4: Simplify right side
    415.80x = 228,193.46
  5. Step 5: Solve for x
    x = 228,193.46/415.80
  6. Step 6: Final answer
    x = 548.81

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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.