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Finding the Fourth Proportional to 415.90, 624.12 and 253.54

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Solution

The fourth proportional to 415.90, 624.12 and 253.54 is: 380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.90 : 624.12 = 253.54 : x
  2. Step 2: Convert to fraction form
    415.90/624.12 = 253.54/x
  3. Step 3: Cross multiply
    415.90x = 624.12 × 253.54
  4. Step 4: Simplify right side
    415.90x = 158,239.38
  5. Step 5: Solve for x
    x = 158,239.38/415.90
  6. Step 6: Final answer
    x = 380.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.