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Finding the Fourth Proportional to 469.40, 704.09 and 286.44

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Solution

The fourth proportional to 469.40, 704.09 and 286.44 is: 429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.40 : 704.09 = 286.44 : x
  2. Step 2: Convert to fraction form
    469.40/704.09 = 286.44/x
  3. Step 3: Cross multiply
    469.40x = 704.09 × 286.44
  4. Step 4: Simplify right side
    469.40x = 201,677.62
  5. Step 5: Solve for x
    x = 201,677.62/469.40
  6. Step 6: Final answer
    x = 429.65

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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.