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Finding the Fourth Proportional to 476.75, 657.86 and 280.22

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Solution

The fourth proportional to 476.75, 657.86 and 280.22 is: 386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.75 : 657.86 = 280.22 : x
  2. Step 2: Convert to fraction form
    476.75/657.86 = 280.22/x
  3. Step 3: Cross multiply
    476.75x = 657.86 × 280.22
  4. Step 4: Simplify right side
    476.75x = 184,347.87
  5. Step 5: Solve for x
    x = 184,347.87/476.75
  6. Step 6: Final answer
    x = 386.68

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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.