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Finding the Fourth Proportional to 429.64, 592.82 and 280.22

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Solution

The fourth proportional to 429.64, 592.82 and 280.22 is: 386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.64 : 592.82 = 280.22 : x
  2. Step 2: Convert to fraction form
    429.64/592.82 = 280.22/x
  3. Step 3: Cross multiply
    429.64x = 592.82 × 280.22
  4. Step 4: Simplify right side
    429.64x = 166,119.89
  5. Step 5: Solve for x
    x = 166,119.89/429.64
  6. Step 6: Final answer
    x = 386.65

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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.