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Finding the Fourth Proportional to 476.71, 657.66 and 310.86

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Solution

The fourth proportional to 476.71, 657.66 and 310.86 is: 428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.71 : 657.66 = 310.86 : x
  2. Step 2: Convert to fraction form
    476.71/657.66 = 310.86/x
  3. Step 3: Cross multiply
    476.71x = 657.66 × 310.86
  4. Step 4: Simplify right side
    476.71x = 204,440.19
  5. Step 5: Solve for x
    x = 204,440.19/476.71
  6. Step 6: Final answer
    x = 428.86

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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.