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Finding the Fourth Proportional to 476.77, 657.84 and 280.23

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Solution

The fourth proportional to 476.77, 657.84 and 280.23 is: 386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.77 : 657.84 = 280.23 : x
  2. Step 2: Convert to fraction form
    476.77/657.84 = 280.23/x
  3. Step 3: Cross multiply
    476.77x = 657.84 × 280.23
  4. Step 4: Simplify right side
    476.77x = 184,346.50
  5. Step 5: Solve for x
    x = 184,346.50/476.77
  6. Step 6: Final answer
    x = 386.66

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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.