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Finding the Fourth Proportional to 476.65, 657.33 and 310.78

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Solution

The fourth proportional to 476.65, 657.33 and 310.78 is: 428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.65 : 657.33 = 310.78 : x
  2. Step 2: Convert to fraction form
    476.65/657.33 = 310.78/x
  3. Step 3: Cross multiply
    476.65x = 657.33 × 310.78
  4. Step 4: Simplify right side
    476.65x = 204,281.73
  5. Step 5: Solve for x
    x = 204,281.73/476.65
  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.