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Finding the Fourth Proportional to 476.48, 657.65 and 280.06

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Solution

The fourth proportional to 476.48, 657.65 and 280.06 is: 386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.48 : 657.65 = 280.06 : x
  2. Step 2: Convert to fraction form
    476.48/657.65 = 280.06/x
  3. Step 3: Cross multiply
    476.48x = 657.65 × 280.06
  4. Step 4: Simplify right side
    476.48x = 184,180.52
  5. Step 5: Solve for x
    x = 184,180.52/476.48
  6. Step 6: Final answer
    x = 386.54

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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.