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Finding the Fourth Proportional to 438.86, 605.75 and 264.21

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Solution

The fourth proportional to 438.86, 605.75 and 264.21 is: 364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.86 : 605.75 = 264.21 : x
  2. Step 2: Convert to fraction form
    438.86/605.75 = 264.21/x
  3. Step 3: Cross multiply
    438.86x = 605.75 × 264.21
  4. Step 4: Simplify right side
    438.86x = 160,043.89
  5. Step 5: Solve for x
    x = 160,043.89/438.86
  6. Step 6: Final answer
    x = 364.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.