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Finding the Fourth Proportional to 630.70, 946 and 369.88

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Solution

The fourth proportional to 630.70, 946 and 369.88 is: 554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.70 : 946 = 369.88 : x
  2. Step 2: Convert to fraction form
    630.70/946 = 369.88/x
  3. Step 3: Cross multiply
    630.70x = 946 × 369.88
  4. Step 4: Simplify right side
    630.70x = 349,906.48
  5. Step 5: Solve for x
    x = 349,906.48/630.70
  6. Step 6: Final answer
    x = 554.79

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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.