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Finding the Fourth Proportional to 477.12, 657.76 and 310.88

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Solution

The fourth proportional to 477.12, 657.76 and 310.88 is: 428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.12 : 657.76 = 310.88 : x
  2. Step 2: Convert to fraction form
    477.12/657.76 = 310.88/x
  3. Step 3: Cross multiply
    477.12x = 657.76 × 310.88
  4. Step 4: Simplify right side
    477.12x = 204,484.43
  5. Step 5: Solve for x
    x = 204,484.43/477.12
  6. Step 6: Final answer
    x = 428.58

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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.