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Finding the Fourth Proportional to 476.82, 657.72 and 378.54

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Solution

The fourth proportional to 476.82, 657.72 and 378.54 is: 522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.82 : 657.72 = 378.54 : x
  2. Step 2: Convert to fraction form
    476.82/657.72 = 378.54/x
  3. Step 3: Cross multiply
    476.82x = 657.72 × 378.54
  4. Step 4: Simplify right side
    476.82x = 248,973.33
  5. Step 5: Solve for x
    x = 248,973.33/476.82
  6. Step 6: Final answer
    x = 522.15

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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.