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Finding the Fourth Proportional to 675.47, 930.83 and 478.64

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Solution

The fourth proportional to 675.47, 930.83 and 478.64 is: 659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.47 : 930.83 = 478.64 : x
  2. Step 2: Convert to fraction form
    675.47/930.83 = 478.64/x
  3. Step 3: Cross multiply
    675.47x = 930.83 × 478.64
  4. Step 4: Simplify right side
    675.47x = 445,532.41
  5. Step 5: Solve for x
    x = 445,532.41/675.47
  6. Step 6: Final answer
    x = 659.59

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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.