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Finding the Fourth Proportional to 476.08, 657.13 and 289.73

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Solution

The fourth proportional to 476.08, 657.13 and 289.73 is: 399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.08 : 657.13 = 289.73 : x
  2. Step 2: Convert to fraction form
    476.08/657.13 = 289.73/x
  3. Step 3: Cross multiply
    476.08x = 657.13 × 289.73
  4. Step 4: Simplify right side
    476.08x = 190,389.55
  5. Step 5: Solve for x
    x = 190,389.55/476.08
  6. Step 6: Final answer
    x = 399.92

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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.