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Finding the Fourth Proportional to 438.80, 605.61 and 264.17

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Solution

The fourth proportional to 438.80, 605.61 and 264.17 is: 364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.80 : 605.61 = 264.17 : x
  2. Step 2: Convert to fraction form
    438.80/605.61 = 264.17/x
  3. Step 3: Cross multiply
    438.80x = 605.61 × 264.17
  4. Step 4: Simplify right side
    438.80x = 159,985.51
  5. Step 5: Solve for x
    x = 159,985.51/438.80
  6. Step 6: Final answer
    x = 364.60

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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.