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Finding the Fourth Proportional to 476.42, 657.21 and 359.78

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Solution

The fourth proportional to 476.42, 657.21 and 359.78 is: 496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.42 : 657.21 = 359.78 : x
  2. Step 2: Convert to fraction form
    476.42/657.21 = 359.78/x
  3. Step 3: Cross multiply
    476.42x = 657.21 × 359.78
  4. Step 4: Simplify right side
    476.42x = 236,451.01
  5. Step 5: Solve for x
    x = 236,451.01/476.42
  6. Step 6: Final answer
    x = 496.31

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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.