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Finding the Fourth Proportional to 476.78, 657.90 and 280.28

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Solution

The fourth proportional to 476.78, 657.90 and 280.28 is: 386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.78 : 657.90 = 280.28 : x
  2. Step 2: Convert to fraction form
    476.78/657.90 = 280.28/x
  3. Step 3: Cross multiply
    476.78x = 657.90 × 280.28
  4. Step 4: Simplify right side
    476.78x = 184,392.92
  5. Step 5: Solve for x
    x = 184,392.92/476.78
  6. Step 6: Final answer
    x = 386.75

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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.