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Finding the Fourth Proportional to 476.78, 657.96 and 280.30

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Solution

The fourth proportional to 476.78, 657.96 and 280.30 is: 386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.78 : 657.96 = 280.30 : x
  2. Step 2: Convert to fraction form
    476.78/657.96 = 280.30/x
  3. Step 3: Cross multiply
    476.78x = 657.96 × 280.30
  4. Step 4: Simplify right side
    476.78x = 184,426.19
  5. Step 5: Solve for x
    x = 184,426.19/476.78
  6. Step 6: Final answer
    x = 386.82

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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.