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Finding the Fourth Proportional to 441.36, 660.96 and 429

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Solution

The fourth proportional to 441.36, 660.96 and 429 is: 642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.36 : 660.96 = 429 : x
  2. Step 2: Convert to fraction form
    441.36/660.96 = 429/x
  3. Step 3: Cross multiply
    441.36x = 660.96 × 429
  4. Step 4: Simplify right side
    441.36x = 283,551.84
  5. Step 5: Solve for x
    x = 283,551.84/441.36
  6. Step 6: Final answer
    x = 642.45

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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.