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Finding the Fourth Proportional to 675.02, 930.57 and 478.46

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Solution

The fourth proportional to 675.02, 930.57 and 478.46 is: 659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.02 : 930.57 = 478.46 : x
  2. Step 2: Convert to fraction form
    675.02/930.57 = 478.46/x
  3. Step 3: Cross multiply
    675.02x = 930.57 × 478.46
  4. Step 4: Simplify right side
    675.02x = 445,240.52
  5. Step 5: Solve for x
    x = 445,240.52/675.02
  6. Step 6: Final answer
    x = 659.60

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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.