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Finding the Fourth Proportional to 964.07, 1,446.13 and 314.78

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Solution

The fourth proportional to 964.07, 1,446.13 and 314.78 is: 472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.07 : 1,446.13 = 314.78 : x
  2. Step 2: Convert to fraction form
    964.07/1,446.13 = 314.78/x
  3. Step 3: Cross multiply
    964.07x = 1,446.13 × 314.78
  4. Step 4: Simplify right side
    964.07x = 455,212.80
  5. Step 5: Solve for x
    x = 455,212.80/964.07
  6. Step 6: Final answer
    x = 472.18

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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.