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Finding the Fourth Proportional to 476.26, 657.27 and 277.16

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Solution

The fourth proportional to 476.26, 657.27 and 277.16 is: 382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.26 : 657.27 = 277.16 : x
  2. Step 2: Convert to fraction form
    476.26/657.27 = 277.16/x
  3. Step 3: Cross multiply
    476.26x = 657.27 × 277.16
  4. Step 4: Simplify right side
    476.26x = 182,168.95
  5. Step 5: Solve for x
    x = 182,168.95/476.26
  6. Step 6: Final answer
    x = 382.50

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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.