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Finding the Fourth Proportional to 476.49, 657.56 and 280.02

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Solution

The fourth proportional to 476.49, 657.56 and 280.02 is: 386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.49 : 657.56 = 280.02 : x
  2. Step 2: Convert to fraction form
    476.49/657.56 = 280.02/x
  3. Step 3: Cross multiply
    476.49x = 657.56 × 280.02
  4. Step 4: Simplify right side
    476.49x = 184,129.95
  5. Step 5: Solve for x
    x = 184,129.95/476.49
  6. Step 6: Final answer
    x = 386.43

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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.