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Finding the Fourth Proportional to 678.04, 934.86 and 444.76

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Solution

The fourth proportional to 678.04, 934.86 and 444.76 is: 613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.04 : 934.86 = 444.76 : x
  2. Step 2: Convert to fraction form
    678.04/934.86 = 444.76/x
  3. Step 3: Cross multiply
    678.04x = 934.86 × 444.76
  4. Step 4: Simplify right side
    678.04x = 415,788.33
  5. Step 5: Solve for x
    x = 415,788.33/678.04
  6. Step 6: Final answer
    x = 613.22

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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.