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Finding the Fourth Proportional to 994.52, 1,491.76 and 310.52

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Solution

The fourth proportional to 994.52, 1,491.76 and 310.52 is: 465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.52 : 1,491.76 = 310.52 : x
  2. Step 2: Convert to fraction form
    994.52/1,491.76 = 310.52/x
  3. Step 3: Cross multiply
    994.52x = 1,491.76 × 310.52
  4. Step 4: Simplify right side
    994.52x = 463,221.32
  5. Step 5: Solve for x
    x = 463,221.32/994.52
  6. Step 6: Final answer
    x = 465.77

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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.