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Finding the Fourth Proportional to 415.93, 573.82 and 260.41

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Solution

The fourth proportional to 415.93, 573.82 and 260.41 is: 359.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.93 : 573.82 = 260.41 : x
  2. Step 2: Convert to fraction form
    415.93/573.82 = 260.41/x
  3. Step 3: Cross multiply
    415.93x = 573.82 × 260.41
  4. Step 4: Simplify right side
    415.93x = 149,428.47
  5. Step 5: Solve for x
    x = 149,428.47/415.93
  6. Step 6: Final answer
    x = 359.26

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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.