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Finding the Fourth Proportional to 415.57, 623.34 and 405.24

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Solution

The fourth proportional to 415.57, 623.34 and 405.24 is: 607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.57 : 623.34 = 405.24 : x
  2. Step 2: Convert to fraction form
    415.57/623.34 = 405.24/x
  3. Step 3: Cross multiply
    415.57x = 623.34 × 405.24
  4. Step 4: Simplify right side
    415.57x = 252,602.30
  5. Step 5: Solve for x
    x = 252,602.30/415.57
  6. Step 6: Final answer
    x = 607.85

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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.