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Finding the Fourth Proportional to 476.47, 657.62 and 277.33

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Solution

The fourth proportional to 476.47, 657.62 and 277.33 is: 382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.47 : 657.62 = 277.33 : x
  2. Step 2: Convert to fraction form
    476.47/657.62 = 277.33/x
  3. Step 3: Cross multiply
    476.47x = 657.62 × 277.33
  4. Step 4: Simplify right side
    476.47x = 182,377.75
  5. Step 5: Solve for x
    x = 182,377.75/476.47
  6. Step 6: Final answer
    x = 382.77

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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.