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Finding the Fourth Proportional to 429.76, 592.56 and 280.48

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Solution

The fourth proportional to 429.76, 592.56 and 280.48 is: 386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.76 : 592.56 = 280.48 : x
  2. Step 2: Convert to fraction form
    429.76/592.56 = 280.48/x
  3. Step 3: Cross multiply
    429.76x = 592.56 × 280.48
  4. Step 4: Simplify right side
    429.76x = 166,201.23
  5. Step 5: Solve for x
    x = 166,201.23/429.76
  6. Step 6: Final answer
    x = 386.73

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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.