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Finding the Fourth Proportional to 476.86, 657.84 and 372.64

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Solution

The fourth proportional to 476.86, 657.84 and 372.64 is: 514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.86 : 657.84 = 372.64 : x
  2. Step 2: Convert to fraction form
    476.86/657.84 = 372.64/x
  3. Step 3: Cross multiply
    476.86x = 657.84 × 372.64
  4. Step 4: Simplify right side
    476.86x = 245,137.50
  5. Step 5: Solve for x
    x = 245,137.50/476.86
  6. Step 6: Final answer
    x = 514.07

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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.