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Finding the Fourth Proportional to 556.30, 768.46 and 445.64

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Solution

The fourth proportional to 556.30, 768.46 and 445.64 is: 615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.30 : 768.46 = 445.64 : x
  2. Step 2: Convert to fraction form
    556.30/768.46 = 445.64/x
  3. Step 3: Cross multiply
    556.30x = 768.46 × 445.64
  4. Step 4: Simplify right side
    556.30x = 342,456.51
  5. Step 5: Solve for x
    x = 342,456.51/556.30
  6. Step 6: Final answer
    x = 615.60

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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.