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Finding the Fourth Proportional to 476.11, 657.30 and 318.95

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Solution

The fourth proportional to 476.11, 657.30 and 318.95 is: 440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.11 : 657.30 = 318.95 : x
  2. Step 2: Convert to fraction form
    476.11/657.30 = 318.95/x
  3. Step 3: Cross multiply
    476.11x = 657.30 × 318.95
  4. Step 4: Simplify right side
    476.11x = 209,648.11
  5. Step 5: Solve for x
    x = 209,648.11/476.11
  6. Step 6: Final answer
    x = 440.33

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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.