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Finding the Fourth Proportional to 415.53, 575.80 and 405.96

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Solution

The fourth proportional to 415.53, 575.80 and 405.96 is: 562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.53 : 575.80 = 405.96 : x
  2. Step 2: Convert to fraction form
    415.53/575.80 = 405.96/x
  3. Step 3: Cross multiply
    415.53x = 575.80 × 405.96
  4. Step 4: Simplify right side
    415.53x = 233,751.26
  5. Step 5: Solve for x
    x = 233,751.26/415.53
  6. Step 6: Final answer
    x = 562.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.