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Finding the Fourth Proportional to 429.36, 644.65 and 409.79

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Solution

The fourth proportional to 429.36, 644.65 and 409.79 is: 615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.36 : 644.65 = 409.79 : x
  2. Step 2: Convert to fraction form
    429.36/644.65 = 409.79/x
  3. Step 3: Cross multiply
    429.36x = 644.65 × 409.79
  4. Step 4: Simplify right side
    429.36x = 264,171.12
  5. Step 5: Solve for x
    x = 264,171.12/429.36
  6. Step 6: Final answer
    x = 615.27

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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.