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Finding the Fourth Proportional to 429.36, 642.88 and 342.28

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Solution

The fourth proportional to 429.36, 642.88 and 342.28 is: 512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.36 : 642.88 = 342.28 : x
  2. Step 2: Convert to fraction form
    429.36/642.88 = 342.28/x
  3. Step 3: Cross multiply
    429.36x = 642.88 × 342.28
  4. Step 4: Simplify right side
    429.36x = 220,044.97
  5. Step 5: Solve for x
    x = 220,044.97/429.36
  6. Step 6: Final answer
    x = 512.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.