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Finding the Fourth Proportional to 476.66, 715 and 271.25

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Solution

The fourth proportional to 476.66, 715 and 271.25 is: 406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.66 : 715 = 271.25 : x
  2. Step 2: Convert to fraction form
    476.66/715 = 271.25/x
  3. Step 3: Cross multiply
    476.66x = 715 × 271.25
  4. Step 4: Simplify right side
    476.66x = 193,943.75
  5. Step 5: Solve for x
    x = 193,943.75/476.66
  6. Step 6: Final answer
    x = 406.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.