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Finding the Fourth Proportional to 438.48, 605.15 and 263.87

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Solution

The fourth proportional to 438.48, 605.15 and 263.87 is: 364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.48 : 605.15 = 263.87 : x
  2. Step 2: Convert to fraction form
    438.48/605.15 = 263.87/x
  3. Step 3: Cross multiply
    438.48x = 605.15 × 263.87
  4. Step 4: Simplify right side
    438.48x = 159,676.59
  5. Step 5: Solve for x
    x = 159,676.59/438.48
  6. Step 6: Final answer
    x = 364.16

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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.