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Finding the Fourth Proportional to 476.08, 657.08 and 305.84

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Solution

The fourth proportional to 476.08, 657.08 and 305.84 is: 422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.08 : 657.08 = 305.84 : x
  2. Step 2: Convert to fraction form
    476.08/657.08 = 305.84/x
  3. Step 3: Cross multiply
    476.08x = 657.08 × 305.84
  4. Step 4: Simplify right side
    476.08x = 200,961.35
  5. Step 5: Solve for x
    x = 200,961.35/476.08
  6. Step 6: Final answer
    x = 422.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.