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Finding the Fourth Proportional to 630.65, 946.07 and 197.81

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Solution

The fourth proportional to 630.65, 946.07 and 197.81 is: 296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.65 : 946.07 = 197.81 : x
  2. Step 2: Convert to fraction form
    630.65/946.07 = 197.81/x
  3. Step 3: Cross multiply
    630.65x = 946.07 × 197.81
  4. Step 4: Simplify right side
    630.65x = 187,136.39
  5. Step 5: Solve for x
    x = 187,136.39/630.65
  6. Step 6: Final answer
    x = 296.74

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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.