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Finding the Fourth Proportional to 630.95, 946.29 and 197.87

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Solution

The fourth proportional to 630.95, 946.29 and 197.87 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.95 : 946.29 = 197.87 : x
  2. Step 2: Convert to fraction form
    630.95/946.29 = 197.87/x
  3. Step 3: Cross multiply
    630.95x = 946.29 × 197.87
  4. Step 4: Simplify right side
    630.95x = 187,242.40
  5. Step 5: Solve for x
    x = 187,242.40/630.95
  6. Step 6: Final answer
    x = 296.76

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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.