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Finding the Fourth Proportional to 964.52, 1,446.90 and 379.40

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Solution

The fourth proportional to 964.52, 1,446.90 and 379.40 is: 569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.52 : 1,446.90 = 379.40 : x
  2. Step 2: Convert to fraction form
    964.52/1,446.90 = 379.40/x
  3. Step 3: Cross multiply
    964.52x = 1,446.90 × 379.40
  4. Step 4: Simplify right side
    964.52x = 548,953.86
  5. Step 5: Solve for x
    x = 548,953.86/964.52
  6. Step 6: Final answer
    x = 569.15

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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.