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Finding the Fourth Proportional to 994, 1,491.08 and 310

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Solution

The fourth proportional to 994, 1,491.08 and 310 is: 465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    994 : 1,491.08 = 310 : x
  2. Step 2: Convert to fraction form
    994/1,491.08 = 310/x
  3. Step 3: Cross multiply
    994x = 1,491.08 × 310
  4. Step 4: Simplify right side
    994x = 462,234.80
  5. Step 5: Solve for x
    x = 462,234.80/994
  6. Step 6: Final answer
    x = 465.02

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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.