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Finding the Fourth Proportional to 684.25, 1,026.42 and 299.50

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Solution

The fourth proportional to 684.25, 1,026.42 and 299.50 is: 449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.25 : 1,026.42 = 299.50 : x
  2. Step 2: Convert to fraction form
    684.25/1,026.42 = 299.50/x
  3. Step 3: Cross multiply
    684.25x = 1,026.42 × 299.50
  4. Step 4: Simplify right side
    684.25x = 307,412.79
  5. Step 5: Solve for x
    x = 307,412.79/684.25
  6. Step 6: Final answer
    x = 449.27

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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.