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Finding the Fourth Proportional to 438.98, 605.54 and 320.82

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Solution

The fourth proportional to 438.98, 605.54 and 320.82 is: 442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.98 : 605.54 = 320.82 : x
  2. Step 2: Convert to fraction form
    438.98/605.54 = 320.82/x
  3. Step 3: Cross multiply
    438.98x = 605.54 × 320.82
  4. Step 4: Simplify right side
    438.98x = 194,269.34
  5. Step 5: Solve for x
    x = 194,269.34/438.98
  6. Step 6: Final answer
    x = 442.55

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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.