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Finding the Fourth Proportional to 444.69, 613.08 and 339.84

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Solution

The fourth proportional to 444.69, 613.08 and 339.84 is: 468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.69 : 613.08 = 339.84 : x
  2. Step 2: Convert to fraction form
    444.69/613.08 = 339.84/x
  3. Step 3: Cross multiply
    444.69x = 613.08 × 339.84
  4. Step 4: Simplify right side
    444.69x = 208,349.11
  5. Step 5: Solve for x
    x = 208,349.11/444.69
  6. Step 6: Final answer
    x = 468.53

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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.