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Finding the Fourth Proportional to 684.21, 1,026.56 and 294.05

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Solution

The fourth proportional to 684.21, 1,026.56 and 294.05 is: 441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.21 : 1,026.56 = 294.05 : x
  2. Step 2: Convert to fraction form
    684.21/1,026.56 = 294.05/x
  3. Step 3: Cross multiply
    684.21x = 1,026.56 × 294.05
  4. Step 4: Simplify right side
    684.21x = 301,853.36
  5. Step 5: Solve for x
    x = 301,853.36/684.21
  6. Step 6: Final answer
    x = 441.17

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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.