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Finding the Fourth Proportional to 684.46, 1,026.24 and 294.70

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Solution

The fourth proportional to 684.46, 1,026.24 and 294.70 is: 441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.46 : 1,026.24 = 294.70 : x
  2. Step 2: Convert to fraction form
    684.46/1,026.24 = 294.70/x
  3. Step 3: Cross multiply
    684.46x = 1,026.24 × 294.70
  4. Step 4: Simplify right side
    684.46x = 302,432.93
  5. Step 5: Solve for x
    x = 302,432.93/684.46
  6. Step 6: Final answer
    x = 441.86

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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.