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Finding the Fourth Proportional to 476.47, 657.48 and 280.05

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Solution

The fourth proportional to 476.47, 657.48 and 280.05 is: 386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.47 : 657.48 = 280.05 : x
  2. Step 2: Convert to fraction form
    476.47/657.48 = 280.05/x
  3. Step 3: Cross multiply
    476.47x = 657.48 × 280.05
  4. Step 4: Simplify right side
    476.47x = 184,127.27
  5. Step 5: Solve for x
    x = 184,127.27/476.47
  6. Step 6: Final answer
    x = 386.44

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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.