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Finding the Fourth Proportional to 476.52, 657.56 and 277.32

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Solution

The fourth proportional to 476.52, 657.56 and 277.32 is: 382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.52 : 657.56 = 277.32 : x
  2. Step 2: Convert to fraction form
    476.52/657.56 = 277.32/x
  3. Step 3: Cross multiply
    476.52x = 657.56 × 277.32
  4. Step 4: Simplify right side
    476.52x = 182,354.54
  5. Step 5: Solve for x
    x = 182,354.54/476.52
  6. Step 6: Final answer
    x = 382.68

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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.