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Finding the Fourth Proportional to 438.39, 605.07 and 364.58

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Solution

The fourth proportional to 438.39, 605.07 and 364.58 is: 503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.39 : 605.07 = 364.58 : x
  2. Step 2: Convert to fraction form
    438.39/605.07 = 364.58/x
  3. Step 3: Cross multiply
    438.39x = 605.07 × 364.58
  4. Step 4: Simplify right side
    438.39x = 220,593.96
  5. Step 5: Solve for x
    x = 220,593.96/438.39
  6. Step 6: Final answer
    x = 503.19

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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.