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Finding the Fourth Proportional to 429.40, 642.48 and 326.32

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Solution

The fourth proportional to 429.40, 642.48 and 326.32 is: 488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.40 : 642.48 = 326.32 : x
  2. Step 2: Convert to fraction form
    429.40/642.48 = 326.32/x
  3. Step 3: Cross multiply
    429.40x = 642.48 × 326.32
  4. Step 4: Simplify right side
    429.40x = 209,654.07
  5. Step 5: Solve for x
    x = 209,654.07/429.40
  6. Step 6: Final answer
    x = 488.25

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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.